TOUR DU MONT BLANC 11 stages, 2 rest days . 14 nights . French, Italian, and Swiss Alps Sounds perfect? View our trip!
The Tour du Mont Blanc is a walking trail in the French, Italian and Swiss Alps making a 180km (112 miles) circuit of Mont Blanc, starting and finishing in Les Houches near Chamonix.
The highest point reached by the standard route is 2,584m (8,478ft) and the height gain (and therefore loss) around the whole Tour is around 10,600m (35,000ft).
Trekkers typically take 11 days to complete the circuit, give or take a day or two.
We ask our TMB clients which stages they enjoyed most. Often the voting is in favour of the two stages above the Chamonix valley from Argentiere to Les Houches. We agree!
With good weather this section reveals the most stunning views of Mont Blanc on the trek, across the deep Arve valley, with the panorama from Le Brevent at 2,525m (8,284ft) being particularly good.
On a typical trek starting in Les Houches, these two stages have the end in sight and the 'home' valley of Chamonix waiting below.
Other stages on the Tour have their own attractions. For calming, pastoral beauty the relatively easy stage from La Fouly to Champex in the Swiss Val Ferret is hard to beat in all of the Swiss Valais region, not just along the Tour du Mont Blanc.
The Italian stages have especially good views of the Mont Blanc range, and in clear weather the views from Col de la Seine, Tete de la Tronche and Grand Col Ferret are exceptional. Jagged snow and rock peaks are ranged along the skyline here, their glaciers tumbling down to the valleys far below.
Tour du Mont Blanc is the proper French name for the trek and is often shortened to TMB or to the Tour when in context. Tour of Mont Blanc would be the English equivalent. Tour de Mont Blanc, the most popular name among English-speakers, isn't quite right. Mont Blanc Tour or Mont Blanc Circuit are readily understood. In Italian it's the Giro di Monte Bianco.
There is great satisfaction in completing stages of a long-distance trek, even more so when it's a famous one like the TMB. There might be times when the climb seems too much effort, and when you encounter bad weather; at such times the goal keeps you going. Equally there should be days when you feel all-powerful, tackling the mountain trails as if they were paths in the park!
One of the best feelings on trek can be nearing the end of a stage, once you're well into the walk, knowing that you've ticked off another leg of the quest. At such points you've also got an evening in a new village to look forward to. Travelling in a self-sufficient manner through the culturally and linguistically diverse terrain of the TMB, this all makes for a thoroughly enjoyable and satisfying holiday.
The TMB is manageable for normal fit mountain walkers who are happy to walk for between 5h and 7h 30m per day along a long-distance trail. It will greatly help your enjoyment of the trek to arrive fit at the start, used to walks of similar distance and height gain to those that you are about to face.
One tough stage for many trekkers is the 21km (13 miles) walk from Les Contamines to Les Chapieux. This involves a total ascent of 1,430m (4,692ft) to cross the Col de la Croix du Bonhomme at 2,479m (8,133ft). The next-toughest stage can be the walk from Courmayeur to Rifugio Bonatti.
The villages and huts used determine the distances each day, of course, and we book many variations on our schedules according to how our clients want to approach the TMB. If you'd like a fast dash or a trip that minimises the longest days, please contact us to chat about the options.
For those wary of walking the TMB in one go, there are many towns and villages along the route suitable for rest days. Our normal schedule spends a first rest day in Courmayeur, a superb little Italian town, and a second rest day in Argentiere in the Chamonix valley, home to so many outdoor activities.
Of course, the TMB can also be tackled over two holidays each fitting into a week. We offer both the North and the South halves and we enjoy booking these in as excellent trips in their own right.
Long weekends are possible too, as indeed are trips of any length. Please contact us and we'll plan a trek for you over a suitable section of the TMB.
Underfoot you will experience a variety of tracks and trails on the TMB. Standardly the mountainous sections run on single-track paths that can be rocky in places, sometimes with steps but mostly just the bare earth. Mud is not a problem in the same way as on paths in the UK, for example! Tracks are also common - perhaps gravel forest roads, ski pistes, or rough tracks for vehicles over agricultural land. There are some sections of country lanes, of which much the longest is one 4.5km stretch near les Chapieux.
The TMB is waymarked quite well throughout its length. Waymarks vary between countries, the Swiss signage being the best. However, it is essential for all parties on the TMB to have at least one competent navigator with a map and compass, for those situations where the route is not marked at a turning or where the clouds have closed in. The best maps for the route unfortunately still have mistakes, in a few places superimposing the TMB route along the wrong footpath, and being behind the times with changes to the routing. Our routecards, notes and maps give you all you need to complete the circuit under your own steam.
During each summer season, snow falls on typically two or three or more occasions. It tends to go away equally quickly and tends not to be deep at the altitude of the TMB, but for the time it remains it can make navigation even more challenging. Under a cover of snow, ground features are hidden and reliance on map and compass skills is key.
The TMB is first and foremost a walk. There is no glacier walking, no via ferrata and no rock climbing. There are however some sections where the path crosses rocky and steep ground. In particular there are three sections on the standard route, all on the two stages above the Chamonix valley, where metal ladders or steps have been installed to make the route easier across rocky ground. The hardest two of these sections can be avoided by alternative routes, but none of them should present problems to regular hillwalkers. Please contact us and we'll be happy to describe these spots in more detail. Your joining notes contain detailed information about likely hazards on the trail.
The typical summer's day in the Alps brings hot sun, perhaps with occasional rain or afternoon storms, but in any case paths that are clear of snow. However, fresh snowfalls occur each summer on a handful of occasions. Most often, these leave a coating of an inch or two on higher passes only, and they disappear in a day or two. However, sometimes the snow stays for longer periods and is deeper. While the TMB should be approached as a summer Alpine trek, with snow quite unlikely, it is wise to know that snow can fall even in summer.
We show this photo in order to be clear what an unseasonally wintry day can mean for the terrain underfoot. This is the TMB under a very light covering of fresh snow. It's falling, and more snow will mean white terrain everywhere.
Our Tour du Mont Blanc season runs from the start of July to the middle of September.
This short season is imposed by the weather: the chance of late-Spring snow patches remaining into late June across the higher passes, and the chance of the weather deteriorating into late September. Because we can't predict the weather for the coming summer, we have to set these dates in advance.
The TMB's accommodation is a major attraction of the route. At various points there are choices of mountain huts, campsites, luxurious hotels, more modest hotels, and auberges with a mix of rooms and dormitories.
Most accommodation is family-run, even in the larger places such as Courmayeur. Our TMB clients often volunteer how much they enjoy the variety of the places we book for them; we aim to give a true experience of the Alps and of the Tour du Mont Blanc. In Chamonix we book as standard our friendly and central hotels, for an unforgettable finish to the trip.
Here's a brief guide to the places and experiences on the TMB, on our normal 11-stage schedule.
We start in Les Houches, the village at the foot of the valley not far from Chamonix. (The TMB does not pass through Chamonix itself - all travel details are included in your joining notes.) The first climb, up to Col de Voza at 1,653m (5,423ft), not too bad in the overal scheme of things, but is a tough start. At the col, the main route is a gentle descent to the Montjoie valley through the villages of Bionnassay, le Champel, la Villette, la Gruvaz and Tresse before the final pull up to Les Contamines. A good alternative is the high-level route over Col de Tricot at 2,120m (6,955ft).
From Les Contamines the route plots a course due South. Follow the Torrent le Bon Nant along forest tracks to the famous church of Notre Dame de la Gorge. Here the climbing begins! An initial ascent brings you to the flat upper valley beyond la Rollaz; higher up, pass the Refuge la Balme and complete the main part of the climb, reaching Col du Bonhomme at 2,329m (7,641ft). A traverse round to the Col de la Croix du Bonhomme at 2,479m (8,133m) finishes the climbing - relax here to take in the new views to the South over the Beaufortain mountains. All that's left now is a grassy walk downhill to the hamlet of Les Chapieux.
The next stage climbs and then descends to Rifugio Elisabetta. Along the way, the Italian border is crossed at the Col de la Seigne. Start the walk by climbing gently along a lane in the narrow trench of the Vallee des Glaciers, reaching the Refuge des Mottets. The climb to the Col starts here and is not too demanding. Arriving at the Col at 2,516m (8,255ft) the view ahead is of the highest scenic quality. It stretches as far as the Grand Col Ferret, 3 stages away, along the lengths of the Val Veni and Italian Val Ferret. On the left hand side of these valleys is the Mont Blanc massif in all its splendour. Drop down from the col to reach the Rifugio at the lip of the Vallon de la Lee Blanche.
Today's aim is the Italian resort of Courmayeur. Begin by descending towards Val Veni with the huge Glacier du Miage prominent to your left. The TMB takes a high route along the Northern slopes of Mont Favre in order to gain better views of Mont Blanc across the valley. From Col Checroui the TMB descends rapidly down steep ski runs to the village of Dolonne and then Courmayeur itself. Courmayeur is a bustling and lively town with all facilities and a noticeably Italian feel, in contrast to Chamonix and the settlements met on the route so far.
The next stage, which has much climbing, passes Rifugio Bertone on the way to Rifugio Bonatti. Options exist to make this stage easier or harder. A highlight of the day, in fact of the whole Tour, is the traverse of the long grassy ridge of Mont de la Saxe which acts as a lookout for the Mont Blanc range opposite. Cross Col Sapin at 2,436m (7,992ft) and Pas Entre Deux Sauts at 2,524m (8,281ft) before dropping down to the Rifugio. Named after the famous Alpinist Walter Bonatti this is a modern and comfortable hut known for its generous and delicious food. Its position on a grassy shelf opposite the Grandes Jorasses is enough to recommend it!
Follow the recently re-routed TMB path from Rifugio Bonatti on a traverse of the hillside, before it begins the stiff climb to Grand Col Ferret. Glacier de Pre de Bar dominates the view to the North, flowing down from Mont Dolent on the border of France, Italy and Switzerland. At the Col at 2,537m (8,323ft) the whole of your Italian adventure can be seen, from its start at Col de la Seigne. Now you are in Switzerland. Begin by descending gently to the farm buildings of la Peule, then lower down to the Swiss Val Ferret. Pass the village of Ferret to arrive in La Fouly, a calm village amidst arguably the most charming scenery of the whole trek.
Wander down-valley past meadows, the river (la Drance de Ferret) and through woods. Walk along the top of a wooded glacial morraine, the Crete de Saleina, arriving soon after at the village of Praz de Fort. Pass les Arlaches and Issert in the valley floor. So far today the route has been gradually downhill. Now start a gentle ascent all the way through woods to Champex and its high position in a saddle between the mountains le Catogne and la Breya. This stage is the easiest and lowest of the Tour, not crossing any passes, but it is full of charm.
Champex might be hard to leave with its picturesque lake and calming air. The TMB splits into two for the journey to Trient: the main route climbs through woods to the alp of Bovine at 1,987m (6,519m) while the alternative route climbs higher to the Fenetre d'Arpette at 2,665m (8,743ft). Neither route is easy, but the Fenetre route involves high, rocky walking that some will find especially tough. Arrive at Col de la Forclaz directly on the Chamonix-Martigny road, or the quiet Swiss village of Trient in the valley.
Leaving Trient pass the hamlet of le Peuty and begin the steep climb to Col de Balme at 2,131m (6,991ft). Once at the col the nature of the TMB changes remarkably, for now you are in the realm of Chamonix and all that that entails. The view to Mont Blanc, this time from the French side, is one that will hopefully accompany you for the next two and a half stages. The peaks of the massif will rearrange themselves throughout your walk to Les Houches. Back to the current stage, follow the Tour over the narrow ridge of Aiguillette des Posettes at 2,201m (7,221ft). Descend along the crest to Tre-le-Champ, from which hamlet the views of Aiguille Verte are especially good. From here it is easy to reach Argentiere, the informal centre for the upper Arve valley.
The next two stages make the link to Les Houches and will see you walking high above the Chamonix valley. Climb from Tre-le-Champ into the Aiguilles Rouges nature reserve, giving one of your best chances to spot ibex (bouquetin) and chamoix. Pass the rock needle of Aiguillette d'Argentiere before climbing up the rocky hillside on ladders. Lac Blanc is a very worthwhile diversion. The climb to this famously scenic lake at 2,532m (7,717ft) can be incorporated into the stage or treated as an out-and-back. Either way, traverse further along the hillside to reach the cable car station at La Flegere. This connects with Les Praz, between Chamonix and Argentiere in the valley below.
Pick up the route at La Flegere and prepare yourself for a very scenic introduction to the day. For about 90 minutes your route takes you across the rocky hillside on an easy path, high above the forests on the North-West side of the Arve valley. Looking up at the hillside from the valley below, you wouldn't think it possible. The route follows the well-known Grand Balcon Sud. Reach the cable cars at Planpraz, connecting to Chamonix, and turn up towards Col de Brevent. Here the GR5 - from Lake Geneva to Nice - joins our route. The link from here to the summit of Le Brevent at 2,525m (8,284ft) is intriguing - it passes through a high rocky hollow and then along the steep hillside with a short section of ladders. The summit viewpoint is perhaps the best position yet from which to look at Mont Blanc, as well as the Col d'Anterne area to the North. The Brevent has a cable car link to Planpraz and Chamonix. The final part of the TMB is now beckoning, down rocky slopes past Refuge de Bellachat and further down into forests, arriving at Les Houches. This is the end of your trek!
Compared to most treks in the UK, the TMB has lower daily distances but more ascent. The Coast to Coast route in England, for example, has an average stage length that is twice as long, as per our normal schedule, but most stages do not climb as much. Of course, the altitude is higher throughout on the TMB, as it is on most Alpine treks. The valleys around Mont Blanc are around 1,000m, but the highest point in England is under 1,000m!
The TMB sits below the Alta Via 1 and the Haute Route in its difficulty. These are three of the classics of Alpine walking. Compared to the AV1, the TMB has more daily distance and elevation gain, but covers generally more hospitable terrain with fewer of the bold mountain settings and the steep drops to the side. The uphill walking tends to come in more concentrated chunks, with typical mornings being spent climbing to a pass, instead of the ascent being spread out during the day. Compared to the Haute Route, the TMB is notably less challenging, because the Haute Route is right at the top end of Alpine walking terrain.
"AE took the time to answer our questions before the trip, and the website coupled with route cards etc were very much in line with our experience when completing the TMB. All the trip notes were of a very high standard and enabled us to relax and enjoy the views!
"Great last night stay in a fantastic room with balcony looking directly at Mont Blanc and the glacier. Fantastic hotel!
"I'd like to thank AE for organising this fantastic trip. We have enjoyed every minute - walking through some stunning locations, staying at the mountain huts, eating great food and meeting many great people along the way. We'll be recommending both the TMB and AE to our friends and family."
"Overall, it was a fantastic trip for all of us. The accommodations were fine and as expected. The food was very good throughout the trip. The scenery was wonderful. The weather in mid-to-late July worked out quite well for us; it was not too hot, and only rained during the day on our last day. And it wasn't particularly crowded, either (I had expected worse); there were other people out there, of course, but not so many to take away from the experience."
"I thoroughly enjoyed it. It was very well-organised. The leader, Joy, was extremely good. Not only was she knowledgeable about the flora, fauna and geography of the area, but she had the social skills to bind the group together."
[Easier or harder?] "Same, The level was comfortable, I could have done more but enjoyed time for wine and hanging out each night."
"It was such a pleasure. I will hike with Alpine Exploratory next summer. Simon answered all my questions... Everything was so well organized I can't stop raving about the trip and Alpine Exploratory."
"It was a really great holiday which met or exceeded our expectations and will be remembered for a long time to come!
"We appreciated the freedom to go at our own pace rather than being tied to a group, and having the routecards, maps and pre-booked accommodation was just the level of support we needed to enable us to just go and enjoy it. Besides the superb scenery and walking, the variety of accommodation was also a positive feature - great to enjoy the locations of the huts & auberges etc, punctuated by some nights of welcome luxury in hotels.
"We booked pretty late, and were impressed by the efficient and helpful service. Thank you Alpine Exploratory!"
(Chamonix) "Fabulous place!! Very friendly and helpful. The best accomodation of the entire trip."
(A refuge) "The accomodations were about like camping (with a bunch of people), but we enjoyed the cammaraderie very much. The food was surprisingly good also."
(Courmayeur) "Another lovely place, fabulous breakfasts and great restaurants in town."
(Another refuge) "I am sure this must be the nicest Refuge there is. We had another great evening here with the guests."
(Champex) "Very nice hotel, enjoyed getting there rather early in the day and having some time off."
"Absolutely fabulous little family run hotel."
"Excellent service from Alpine Exploratory."
"We had a brilliant time; great itinerary & great service from you."
"So well organised - much appreciated as we had limited time... Just loved whole trip - organisation great!"
"Best hotel I have stayed in in Europe - room excellent, the breakfast spread was superb, reception very helpful.
"Your service has been excellent, and has contributed to an excellent holiday... We will recommend your services, and will use you again for some other trekking adventure..."
"Alpine Exploratory's service could not be faulted - hope to use you again in the future."
"The trip was run very well and Joy, our guide did a wonderful job. The distances were good and the lodgings were very nice.
"It really was a great time and I'd highly recommend the trek and AE to anyone."
"Thoroughly enjoyed the holiday. It seemed like much more than 2 weeks, was hard work but there was a lot of enjoyment packed in.
"We took the higher routes Col de Vosa, no problem, higher route to Courmayeur, Trient glacier higher route. Pole(s) definitely a must as are stout boots.
"One of the nice things about staying in the refuges is that you meet others more easily. We enjoyed travelling with a number of the friends we formed on the route.
"The flora was one of the things I was looking forward to seeing and it was way better than I could have hoped for. Early season is definitely the time to go. Snowy passes are a bonus in my book. Saw Chamois, Ibex and Marmots, not many birds though." .
"Thorough pack, though I still had a few Qs that were quickly cleared up on email.
"I enjoyed the trip and would recommend both the TMB and Alpine Exploratory. You were patient with my questions and answered them promptly. I first inquired about this trip over a year ago and returned to you this year for this reason.
"I thought the pack and route cards were very good. It was nice having everything organised."
[Scenery?] "Fantastic, almost undescribable. Even photos don't do it justice.
"Fantastic, enjoyed it very much. Even the bits when we were tired and physically exhausted were OK due to the lovely walks and scenery.
"I would be very happy to say how pleased we were with your service and how helpful you were when we had to change dates etc. It was great, thank you."
[Refuge] "A new experience for us, but one we both enjoyed, both for the people we met and for the fabulous views. Food was good and the staff very nice..
"Overall a great trip and the services from you were excellent. The walking was harder than the Coast-to-Coast, but nothing that caused us any problem. The comfier option was a good idea, but having said that, the stay in the refuge was something we really enjoyed for the one night."
"The information pack was extremely informative and well set out with the information we needed sent at the right time.
"Had a really good time and really appreciated the support provided when we wanted to change our plans part way through. Whilst we found the huts weren't for us we were glad to have tried them and enjoyed the lunches we had in them and the recommended tarte de myrtilles! We would recommend your company to friends and family."
"Trek was enjoyable and Alpine Exploratory was clearly well known by the hotels, making things easy for us at check-in. Route cards were easy to follow and comprehensive. Thanks for helping to make this a very enjoyable trip."
"The information was complete in all aspects and made navigating easy.
"The scenery was beyond spectacular. I recently went hiking in the Laurel Highlands of Western Pennsylvania, and discovered I'd been spoiled by the Alps.
[Favourite stage?] "Not sure I had a favorite, but the end of the stage at Refugio Bonatti had the best scenery of any of the lodgings. We went out after dark and the combination of the stars and the mountain were breathtaking.
[les Chapieux] "First experience with an auberge. We had a good room and the woman who ran the place was charming. Enjoyed dining with others and meeting new people.
"My biggest fear, after getting lost or injured, was that we'd arrive at a lodging tired, dry and hungry and they would not have our reservation. That never happened. Everything on our trip worked out great. Your planning was excellent. Lucy, Simon and Chrissy were very helpful when I needed to change a route."
Alpine Exploratory offers three self-guided options for the TMB, plus one guided trip. We're also pleased to book shorter or longer sub-sections of the route according to your available dates. Please contact us to discuss options.
Our self-guided holidays give you what you need to complete the route under your own steam. We book your accommodation in a mix of hotels, huts and auberges and we give you our detailed routecards, the local maps, and lots of notes. Importantly we will advise on the ideal schedule and accommodation to suit your approach to the TMB. As well as the full circuit from Chamonix we offer half-routes which we call North and South. These end and start, respectively, in the roughly half-way resort of Courmayeur.
Our guided trips are similar but give you the benefit of an Alpine Exploratory leader to show the way.


There are well over 100 different rewards cards available with perks and partnerships from airlines, hotels, retailers, colleges and even big sports leagues. In fact, there seems to be a rewards card for darn near everything and everyone. So how do you narrow down which cards should be in your wallet?
The truth is, it can be tough to figure out which cards will be the best fit with your spending and lifestyle. Most people don't get their strategy perfect right out of the gate, but with a little knowledge you can clean up your wallet and maximize your rewards.
While I have a couple of dozen rewards cards, I think there are three main types that you need in your wallet.
The first, and possibly most important, rewards card that should be in your wallet is the one you use for the bulk of your everyday spending.
This card will preferably award bonus points for the categories you spend the most in, and will earn rewards that add value to your lifestyle. Your everyday spending credit card should also have solid built-in purchase protections in case what you buy becomes lost, damaged or simply goes on sale right after your purchase.
In most cases, you will not want this card to just award you a flat one mile or point per dollar, as you often can do better than that earnings ratio.
One good "everyday" card to consider is the appropriately named American Express Everyday Preferred Credit Card ($95 annual fee) that awards 3x points at U.S. grocery stores (up to $6,000 annually), and 2x points at U.S. gas stations.
On top of that, you get a 50 percent bonus on all points earned that month if you have 30 or more transactions in a billing cycle. This means if you use the card about an average of once a day, then you will be earning at least 1.5x points on everything. The American Express Membership Reward points can be used to book travel through AmEx or transferred to hotel and airline partners such as Delta, British Airways, Hilton and more than a dozen other loyalty programs.
The Chase Sapphire Preferred Card ($95 annual fee) is another strong everyday rewards card contender as it awards 2x points on travel and dining, even including routine purchases such as subway passes, taxis, Uber rides and train tickets. Similar to AmEx Membership Reward points, Chase Ultimate Reward points can be used at a fixed value to book travel through Chase or transferred to popular hotel and airline partners such as United, Hyatt, Southwest and Marriott.
If you don't want to mess with award charts and award availability, then another great everyday rewards card is the Barclaycard Arrival World Elite MasterCard ($89 annual fee, waived the first year) that earns 2x points on all charges. You can use these points at a value of 1:1 toward travel, with a 5 percent rebate of your points when you cash them in for your next trip.
The next rewards card you want in your wallet is one that gives you the perks and special access to things you enjoy the most. This could be a fun rewards card that aligns with your favorite retailer to give you in-store discounts or special benefits, or perhaps one that gives you behind-the-scenes access to special events.
Some good examples of these "fun" cards are the Nordstrom Visa Signature card (no annual fee) that allows you to accumulate points to reduce purchase costs and gives you early access to its anniversary sale, the Disney Rewards Visa card from Chase (no annual fee) that gets your little ones free Disney character meet and greets, or the NFL Extra Points credit card (no annual fee) that gives inside NFL access, 0 percent financing on NFL ticket purchases and discounts on some NFL merchandise. As with all credit cards in your wallet, if the card in this fun slot has an annual fee, be sure you are getting your money's worth each year.
Assuming you travel or want to travel more, the final credit card to have is one that makes travel cheaper and easier thanks to built-in annual perks.
This is where cards such as the United Explorer Card ($95 annual fee, waived the first year), the AAdvantage Aviator Red World Elite Mastercard ($95 annual fee), the IHG Rewards Club Select card ($49 annual fee, waived the first year), or even The Platinum Card from American Express ($550 annual fee) come into play. None is particularly strong in terms of earning points on everyday charges, but all of them can make your travel experience better or potentially cheaper.
Airline co-branded credit cards typically give you a number of free checked bags, priority boarding and other unique airline-specific perks. For example, the United credit card allows access to additional saver award availability and the AAdvantage card gives you 10 percent of your redeemed miles back annually, up to 10,000 miles.
On the hotel side of things, you often can expect the co-branded credit cards to provide at least mid-tier elite status that may get you late checkout or a room upgrade, and the best ones even give you an annual award night that can offset the cost of the annual fee!
The IHG credit card provides IHG platinum status, 10 percent of your redeemed points back (up 100,000 annually), as well as an annual award night you can use at virtually any IHG property around the world, including Intercontinental Hotels in expensive cities such as New York, London or Paris.
If you have a rewards credit card that is strong for everyday spending, one that gives you special access or discounts to the places you love the most, and one that provides travel perks to streamline your adventures, you will be well on your way to having the right credit cards in your wallet to match your lifestyle.
See related: Using points to stay at all-inclusive resorts, What is the Chase "5/24" rule and how does it work?
Rewards redemption tips for a genuine St. Paddy's Day celebration in Ireland.


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CBE » About » News » Trusting your instincts
image: CBE
Trusting your instincts
In the last four years, there has been a recurring theme for Tran Thai Son Pham that he believes has reformed his decision-making process – to trust his instincts.
From deciding to leave Vietnam to study in Australia, Tran believes that his instincts have given him that "extra zing" to gain a rich experience in his academic and personal life.
"I grew up in an environment where classmates would either pursue a career as a doctor or an engineer at a very young age. I too did well in the subjects that would lead me to those careers but there was a strong bond I shared with math. An impulse that became an obsession and I'm glad it has developed into such a strong passion," Tran said, adding that his family was extremely supportive of his move.
In year 10, Tran moved from his hometown Hai Phong, a major port city in northeastern Vietnam to a high school in Geelong, near Melbourne.
While he initially felt unsure about his move his confidence soon lifted as he scored the highest in his class in his first Math assignment.
"Even though I was a Year 10 student, I was transferred to Year 11 math based on my merits. That hugely boosted my morale. My math teacher had then predicted two outcomes for me, both of which that have come true. First, that I would pursue a career as an actuarial and the other, that I would receive the highest award in the state for my merit," Tran shared.
Last month, Tran received a premier award from the state of Victoria for his academic performances at Geelong's Kardinia International College.
"I was settled in Geelong and I was going to go to one of the Melbourne universities to stay close to my new comfort zone. However, my instincts nudged me again to choose ANU for its courses and university environment," he said.
Tran is studying at the ANU College of Business and Economics where he pursuing a double degree in Actuarial Science and Commerce. He is also the recipient of the prestigious ANU College of Business & Economics International Undergraduate Scholarship. He is one of the six international students who have received this award.
Ever since he started studying at ANU earlier this year, Tran is glad to have followed his instincts.
"Canberra wasn't a community I was aware of but I am grateful to be a part of it. Definitely program wise it was a good decision to come to CBE and I am simply awestruck by the ANU campus," he said.
The ANU College of Business and Economics offers an extensive range of specialised programs in Actuarial Science and Commerce.
Discover how you can become an internship host
Accelerate your career with our award winning Internship program
Read more about CBE students
What can happiness buy you?
"Emotional strength to stick with disciplined strategies are critical for success in business or portfolio management."
A confidence building exercise
"I grew confident in every sense. I would progressively change the way I was thinking, taking notes and writing essays."
Learning outside of comfort zones
'I wanted my uni experience to help me develop as a person. Not just academically but capable of handling challenges
Turnitin and my time at ANU
"Life is like a buffet; just try anything because these experiences will shape your appetite"
Updated: 3 July 2019 / Responsible Officer: CBE Communications and Outreach / Page Contact: College Web Team

redpajama_set_name: RedPajamaCommonCrawl


Check here for a brief message about classes, lessons, as well as the scheduled format for the PM lesson. I welcome your comments, suggestions, and pertinent thoughts related to the work and, well, what I'm up to!
ëWhere are we in our classes?
Sunday Morning: We are looking at various cults who have challenged the canonicity of the Bible (either changing, adding to, or replacing It altogether). We are currently discussing Islam (including various beliefs and doctrines associated with their faith). This Sunday, we begin to look at their beliefs and resultant practices re the end of life and judgment day.
Wednesday Evening: We are studying the Messianic Psalms. This Wednesday we will continue our discussion of Psalm 110 (and related Passages) as we consider the High Priesthood of Jesus in relation to His reign as King and in view of our service as priests in His kingdom.
ëSunday PM Format: We will have our first quarter Wrap-Up Song Service.
One Response to What's Michael Up To?
Brother White…….your man in the mirror series is fantastic… It has given me a better, insight of my Christian journey. Each week I'm drawn to where your message is going, and how to apply it to my life. I'm aware of my duties to my home congregation. But I might miss a lesson from this series that can be beneficial, not just to my life; but to take these lesson and share them to the lost souls.
Keep sharing your gift Brother White.


Well, I can't believe it's here but we are about to start a new year. 2017 was full of surprises – some good, some bad, but mostly a lot of unexpected stuff. You can plan all day long, but there will always be some unexpected things that will happen. Quickly, things started to take shape up and were out of my control. That's why it's so important to reflect on positive things no matter what.
I found that out quickly. No matter what, 2017 was all about staying positive. It's okay to reflect on some of the rough parts. That's the only way we can move forward. So as we start a new year, reflect on all the great things that happened in 2017. But don't be afraid to consider the losses, the rough parts, and the really bad parts. That's life and we're all normal. We must understand what we've been through to understand where we are going. So here is my look back on 2017 – the good and the bad.
Wow! We started off 2017 with a BIG DIY BANG! Brandon was all on board with helping me accomplish DIY projects all year. We started the year by organizing the master bedroom closet. With that project came our very own barn door. Brandon made a barn door with wood, nails, and glue. It was a very fun project and we were so excited once it was up. Surprisingly, it was pretty simple to make. Installing the barn door hardware kit was likely more difficult than the construction of the barn door. Somehow, the year got super busy and I took it for granted but I love my barn door. I love my husband that made it even more too!
The barn door post was a small part of the blog post that got the most comments. It was because of the #10daysoforganizing blogger collaboration that I created the 5 Tips to Create a Closet You Love. This post got over 19 comments (thanks to the collab) and was much needed. I accomplished so much in my closet that I would have never completed without the collab. In addition to the barn door, I took a $20 light and re-did it to match the space, painted the ceiling (not white), and made a mood board for a closet makeover. This helped me start out the year motivated and productive.
This was a project I started in January to motivate us to complete projects around our home. The decision of the votes dictated what would get done in a space and that was the fun part of the challenge. YOU GOT TO CHOOSE. I'm so thankful for all your votes to help complete different projects around our home this year. If you didn't come and vote, then I would have no basis for the challenge. One big project that was completed was the sitting area. The sitting area project also tested Brandon't building skills again when he built an awesome foyer table. He did it though…he built a beautiful table with his own hands. He really surprised me but I knew he could do it all along. I love my sitting area and will be sharing new photos of the space in 2018. Thanks for voting on my projects and for all your support to this blog.
I'm not a big cryer. I actually don't cry much but in 2017 I cried a lot. You didn't see the tears, but I felt them. The tears rolled out my eyes as I loss very valuable members of my family. I'm thankful for my hope for the dead because it is what helped me the most.
In 2017, I loss one of the nicest men I ever knew, my uncle – Walter Fitzgerald Morehead. I had the honor of writing his obituary and it really pushed me to reflect on his life. Yes, I could read other obituaries to get ideas but it wouldn't be his. So I dug deep into my own memory and reflected on all the good things he did and what he left behind, all those living. I realized that when our obituary is written for ourselves – all that matters is the good we did and the name we made for ourselves – with others, but most importantly God. I definitely knew this but writing my uncle's obituary was a hard reminder of that. What will I be remembered for? It was so early in the year but such a valuable reminder. I was sad to see him leave this earth but so happy for all the reminders it gave me.
After summer passed, I got a chance to spend a long weekend with my husband. He was in Florida for work and so we made a trip out of it. We stayed at a beautiful boutique hotel, Bohemian Collection Hotel Celebration and it was one of the highlights of our trip. We both also rode bikes around one of the cutest cities in Florida and that experience was memorable for the both of us. We spent quality time together as a couple, no kids included. I learned how important that was this year. I'll admit that as a mother, it's been hard to juggle being a wife too. Like, it's really hard! But in 2017, I realized that my marriage is of utmost importance and needs lots of attention as well. It's not easy, but it's a necessity. I'm grateful for the amazing man I married and the quality time we spent together this year.
I enjoy writing and styling content. It's my jam! When you're a content creator, you're not always inspired by every single thing you write. Sometimes you write because you have to. It's your job after all. But when you're inspired to write something you created – those are the best posts, at least for you. There were some memorable times that this happened in 2017 but one of my favorite posts was creating and styling this post – Charcuterie and Cheese Board.
My family was here visiting, cooking, eating, laughing and I created it amongst all of that. I guess that's what made it so special. The sounds I heard around me inspired me. It was what I felt inside, when I was making it and the enjoyment of everyone loving it that made this post so memorable for me. And this cheese board was my best one yet. Be sure to check it out!
There was a lot of important content that was published this year, but The Only 3 Things Your Pet Really Needs came in first for the most shares. This post was shared over 1, 300 times! Wow! It was another sponsored post that was actually more difficult to direct. Photographing your dog is way more difficult than I thought, at least my dog. He just was not up to being in pictures. Finally, we decided that I'd actually have to hold him while Brandon took photographs. It was the only way to get the shots I needed. It was still fun to create and I'm so glad we got to show off our pet, Kipsy Behr. We love him so much.
Another exciting thing that happened for me, as a writer, is I became a Houzz contributing writer. Because of this paid writing opportunity I could continue to write about things I enjoy talking about and thousands of people could read about it. I wrote about fixing up your outdoor spaces for football season, successful second-hand shopping, and successful second-hand shopping. In 2018, I hope to get more efficient in creating content for Houzz, so be sure to follow me if you're on Houzz too. It's a great platform if you're wanting to make updates around your home. See you over on Houzz!
The reason this blog post was so exciting for me was because it was my first official paid post. I had pitched an idea to collaborate with a brand and the idea was accepted. I remember exactly where I was when I received the news. You see, when you're a content creator, there is a period where you work for free, in exchange for products, or for a small fee. But this post was one I could create/direct, photography, and write about. The best part…someone was paying me to do it! It was such a liberating experience. It validated my writing skills and voice. This one blog post also helped me get more work as a writer and content creator. This was an awesome opportunity to work with The Dreaming Tree at Collective Bias. I learned so much about monetizing my blog this year and this post taught me so much.
Somehow, it wasn't even winter yet and it snowed here in southern Louisiana. I was watching the weather all night and had a feeling it would definitely snow here. So I kept the kids in from school and we waited. It happened too! It snowed all afternoon and it was so much fun to see. We all went out and let the snow fall on us, took pictures, and felt the snow in our hands. It was awesome. I'm so glad that I had the opportunity to let the kids stay home from school and enjoy this special day. We will never forget the day it #sneauxed in Louisiana.
There were certainly other highlights of 2017 including making this video, getting new kitchen floors, making slime with the kids, visiting Destin in April, starting this YouTube channel, my mother in law getting cancer and a lot more that I may never write about. One thing about blogging and writing – it will never replace being present as things are happening. Some really awesome moments have happened that you'll never read about. As we move into 2018, be sure to be present. This is something I'll continue to do myself.
Just be. Be present, be content, be sad if that's your current mood, but strive to be happy. Whatever you're doing – be that and do it well.
Wow, that was some year. I am so proud of you and all that you have accomplished in that one year. You have shown us loss, and leaps. It's okay to show the good, bad, and in between. You are definitely teaching me, more and more every post you write.


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This is a sad day. Thank you for the music. Good bye, Mark.
A major touchstone in my life is gone, the albums and concerts are like the yearly events that I used to mark my own passage thru' this daft experience.
They also brought to many many places that I simply would not have travelled to and all those Fall fans who I've met in all those cities in Europe.
Thank you, Mr Smith and company for everything.
If you took all the great music you've ever heard and got someone to spit it back out at you in a wall of sound and you've got the fall.
Gutted. Going to be a long few nights playing all the stuff. RIP.
Myself and all at Dandelion Radio send condolences to the band / family of the great man. John Peel is our inspiration, and I think I can say that every one of us holds Mark & The Fall in a special place in our hearts. We are putting together tribute shows, which will stream as part of our February output. www [dot] dandelionradio [dot] com - from Thursday.
i cried into my glenlivet when i found out. gutted doesn't come close to describing how i feel.
the two times i saw the group are permanently etched in my mind.
was hoping to see you again, but it was not to be.
deepest sympathy and condolences to the rest of the group and their families.
thank you for everything, each note and each phrase.
Ive been with The Fall since I was a teenager and now in my late 40's. Although many legends have left us recenly, this one is the hardest to process and the one that I fell I was closest to. Ive seen The Fall more than any other band in my life and have always found the music and stage perfromances truly unique and electric. Even if Mark didn't come on or came on and went off again or if they came on late or if they fought on stage, none of it mattered, it was all part of the experience. Ive even managed to sing live with the band when on 2 occasions Mr SMith handed me the microphone and told me to sing...once in Aberdeen and again in Norwich. A huge gap left and sorry that its taken this for me to go back and delve into the deeper cuts. One point of solice if that my 19 year old daughter is now getting into the back catalogue..........gutted!
did he want to hear that he was heard?
Your boots stood you up?
We are The Fall !


I had a friend call just now. Turns out his kids had been playing with his computer and now his Windows desktop has turned on it's side. I.E. the top is to the left, bottom moved to the right.. etc. Mouse movements, everything was affected.
Well, should this ever happen to you or anyone you know, just hit Ctrl-Alt-"up-Arrow" on the keyboard and that should set things back to normal.


Brethren, I may confidently say to you regarding the patriarch David that he both died and was buried, and his tomb is with us to this day. And so, because he was a prophet...he looked ahead and spoke of the resurrection of the Christ, that He was neither abandoned to Hades, nor did His flesh suffer decay. This Jesus God raised up again, to which we are all witnesses.
In other words, Peter argues that David couldn't have been speaking of himself when he wrote those words of Scripture because David's body decayed in a tomb. He then contrasts David's death with Jesus' death and physical resurrection to show that the words of the Psalm are describing Jesus, and therefore Jesus is the Messiah they've been waiting for.
As for the fact that [God] raised [Jesus] up from the dead, no longer to return to decay, He has spoken in this way: "I will give you the holy and sure blessings of David." Therefore He also says in another Psalm, "You will not allow Your Holy One to undergo decay." For David, after he had served the purpose of God in his own generation, fell asleep, and was laid among his fathers and underwent decay; but He whom God raised did not undergo decay.
There's no mistaking that Paul is contrasting a body decaying in a tomb after death with a body that, because it was raised to life after death, experienced no decay. These are very physical arguments that Paul is using to prove his claim that the blessings God promised are given through Christ.
The charge is sometimes made that Paul knew nothing of a physical resurrection, but instead, the idea that Jesus was physically resurrected was invented later by non-eyewitness Gospel writers. This objection is intended to show that the earliest Christian tradition was of a spiritual resurrection of Jesus.
Inasmuch as many have undertaken to compile an account of the things accomplished among us, just as they were handed down to us by those who from the beginning were eyewitnesses and servants of the word, it seemed fitting for me as well, having investigated everything carefully from the beginning, to write it out for you in consecutive order...so that you may know the exact truth about the things you have been taught.
Second, Luke worked closely with Paul, joining him in his missionary journeys, and quite possibly became a Christian as a result of Paul's ministry. Because of this, it's highly likely that their views on this topic would have agreed.
So keeping in mind that Luke placed the words of the disciples quoted in Acts in the genre of history (claiming he was attempting to accurately write what the disciples preached), and that he was closely connected to Paul (and so probably had the same view of the resurrection), and that Paul and the leaders in Jerusalem shared the same gospel (indicating the physical view was shared by them, as well), these two passages point strongly to the disciples' early belief in a physical resurrection.


If you are interested in photography, be ready for breath taking, panoramic view. If you are a painter, you could create here your best works. You could jog around the lake before your breakfast, or ride your bicycle. You can practice yoga. You can try some recipies from our kitchen. Are you interested in rocks ? Here it is - gigantic metamorphic rocks and a marvellous view worth to watch.


Beyond any leaked-secret appeal, the Passport continues the Blackberry legacy of being designed for business users. The Passport is notable for its unique shape, which is more square than rectangular, making the device's size similar to an actual passport. The display is a full HD and 4.5 inches square, (1440 x 1440 pixels) offering the same screen space as a 5-inch smartphone, but a better viewing experience. "No more worrying about portrait or landscape modes, and no; you aren't missing anything," BlackBerry added.
An improved Quad-core Snapdragon 800 chipset will drive the BlackBerry 10.1 OS with 3GB of RAM and 32GB of on-board memory. And a long-life, non-removable Li-Ion 3450 mAh battery will keep the Passport powered.


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Click Here to Download "CSI" Episodes for Free | HD Quality
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'CSI' Creator Anthony Zuiker Returns to Series, Weezer Pays Tribute to 'Lost' and More
Posted by: admin in CSI News
'CSI: Crime Scene Investigation' creator Anthony Zuiker has returned to the writers' room for the CBS show's 11th season.
Zuiker has not had a direct presence in day-to-day operations on 'CSI' for about five years, instead working on other projects and spin-off shows. According to Vulture, CBS executives and 'CSI' showrunner Carol Mendelsohn wanted to bring Zuiker back to the mothership show for an injection of bizarre stories that made the show watercooler material in its earlier seasons.
An upcoming episode of the show will feature a werewolf/vampire convention.
• Weezer's new album 'Hurley' will feature a photo of 'Lost' star Jorge Garcia on the cover. Garcia played the lovable Hurley on the hit ABC show. Check out the full cover and the story behind it on Spinner.
• Wayne Brady is heading back to 'How I Met Your Mother.' The host of 'Let's Make a Deal' is reprising his role of James, Barney's brother. Look for Ben Vereen to play Brady's father. According to TV Guide Magazine, the duo will appear in the second episode of this upcoming season.
• Megan Boone has joined the cast of 'Law and Order: Los Angeles.' Boone, who had a part in 'Sex and the City 2,' will play an ADA. According to Deadline Hollywood, Boone's character will be the ADA under Terrence Howard's DDA.
• 'Golden Girls' is getting a 25th anniversary DVD set. 'The Golden Girls: 25th Anniversary Complete Collection' will feature all seven seasons of the show in a package designed to look like Sophia's purse. According TVShowsOnDVD.com, the set will hit the streets Nov. 9. The set won't include any additional special features besides what was included on the individual season releases.
• Jason Bateman wants Jennifer Aniston to be in the 'Arrested Development' movie. Yes, you read that right. Bateman and Aniston star together in the upcoming film 'The Switch,' and both talked to MTV about their interest in getting Aniston a role in the film. "Yeah, actually, there's a real good part for her in the 'Arrested Development' movie," Bateman told MTV. "There's no offers on this one. She's gonna have to sing for her supper. I don't know, we'll see if she's available. She's busy. She's pretty famous; I don't know if you've heard of her. She's pretty backed up. Hopefully the guy who's in charge will like her for that part because I'm going to suggest her."
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Natural, crisp lines, flowing chiffons and a sense of free-spirited romance characterise Tatyana's designs. These delicate beauties are perfect for that beach wedding or for any bride who would like to look effortlessly beautiful. All gowns are handmade from their studio in Brooklyn, New York City.


Thank you for visiting this page. This hopefully means you are interested in helping us making #develop an even better Open Source IDE. Now you want to know how to go about it, great!
Report Bugs. Please read the essay on bug reporting best practices we linked in the forum first. A bug report stating something like 'The #develop Forms Designer doesn't work on my computer' will not be of any help.
Submit Patches. #develop is quite a big piece of code by now, small bugs that can be easily fixed therefore are unavoidable. If you find such a bug and fix it, please contact us in the Bug reporting forum first (to avoid duplication of work). For patch submission details, please see joining the team.
Write Documentation. We are aware that writing documentation is tedious. If however you want to help with this, you have two options available: contribute to the wiki or contact Christoph for information on how to contribute more elaborate material.
Contribute Code or AddIns. We always need contributions that go beyond bug fixes. Perhaps you want to use a different compiler? Or you want to 'adopt' a feature that you need, but which hasn't been updated recently? Then feel free to look around in the wiki and be inspired to do some nifty code. Please contact Mike at the address mentioned above when you found something you like.
If you want to sponsor a feature, please contact us.


text:
Robert Lee "Buddy" Brashears
Voces de Santa Fe honors your memory.
ACTIVITY DURING WWII
SERVED IN THE SOUTH PACIFIC 12/28/43 TO 12/22/45. SERVED ON USS YMS-431. AWARDED THE ASIATIC-PACIFIC CAMPAIGN MEDAL WITH 1 STAR, AMERICAN CAMPAIGN MEDAL AND WWII VICTORY MEDAL.
A YMS (YARD MINE SWEEPER) PROVED TO BE ONE OF THE U.S. NAVY'S MORE DURABLE & VERSATILE TYPES. THEY WERE USED DURING WWII FOR INSHORE SWEEPING (FOR MINES) TO PREPARE THE WAY FOR AMPHIBIOUS ASSAULT. A FEW LOCATIONS FOR THE USS YMS-431 WERE HAWAII, OKINAWA, HIRO WAN, HIROSHIMA AND KURE HARBOR.
Staff Sergeant Vicente Martinez
"Vicente proudly served his country in WWII as a United States Army Air Corps staff sergeant and ball turret gunner aboard a B-17 Flying Fortress. He flew in 20 bombing missions before being shot down over Hungary and captured by enemy forces. Vicente was held as Prisoner of War at Stalag Luft IV. During Vicente's last three months as a POW, he and thousands of other American prisoners were forced to leave camp and set out on what would become known as the Black March, a 500 mile journey westward across northern Poland and Germany, as their German captors retreated from the advancing Soviet army. This was a time of extreme hardship and hundreds of men died on this march due to disease, exposure, malnutrition and mistreatment." Son David Martinez
Voces de Santa Fe honors the memory of Vicente Martinez. Rest in peace.
Hilliard Crown, WWII Air Force Navigator
"My dad Hilliard in his RCAF uniform. He was a navigator in a Lancaster bomber in WWII flying missions over Germany. He also trained pilots from a base in England." Daughter Rebekah Crown
Lt. Colonel John Dear
"My father, Lt. Colonel John Dear, in the 1940s in the Army Air Corp. He trained Air Force pilots for WW II in the 40s, flew in the Berlin Airlift in the late 40s, and was the commander of radar bases in the 50s, including one in Japan where we all were for 2 years. He was a "career" USAF officer, serving overseas several times as well as in various places in the US. I'm thankful for his service and for all veterans and what they have done for our country." Daughter Elizabeth Dear
voces de Santa Fe honors the memory of John Dear. Rest in peace.


All of the license plates owned by NGM have estimated resources of approximately 153 million tonnes. This estimate is based on the studies of our predecessors (CVRD Vale and BHP Billiton) but does not fall under any international standard.
On the other hand, on the two (2) best-known uplands, Bordeaux and Biniomi, the resources established according to the JORC international standard are 43 million tons. In terms of JORC reserves, these two (2) same plateaus total 33 million tonnes.
On the basis of the exploration already carried out, additional studies and an exploration campaign will increase resources by 40 million tonnes. The recovery in terms of concentrated manganese at 42% on average is between 25% and 30% depending on the production areas, based on the results of the current production unit, which allows the production potential to be estimated. only Biniomi and Bordeaux trays to about 9 million tonnes of concentrated manganese.
© 2019 Nouvelle Gabon Mining Developped by UWS Inc.


text:
(2748) Patrick Gene – planetoida z pasa głównego asteroid okrążająca Słońce w ciągu 4 lat i 258 dni w średniej odległości 2,81 j.a. Została odkryta 5 maja 1981 roku w Obserwatorium Palomar przez Carolyn Shoemaker. Nazwa planetoidy pochodzi od Patricka Gene Shoemakera, syna odkrywczyni. Przed nadaniem nazwy planetoida nosiła oznaczenie tymczasowe (2748) 1981 JF2.

Zobacz też
 lista planetoid 2001–3000
 Lista planetoid

Linki zewnętrzne

Planetoidy pasa głównego
Nazwane planetoidy
Obiekty astronomiczne odkryte w 1981

redpajama_set_name: RedPajamaWikipedia


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It was the most beautiful day in the city yesterday! The weather was just amazing, reaching up to 80s. So, I decided to just walk around and bring you a taste of the best city ever!
If you don't already know, San Francisco is a heaven for health nuts like myself. There are many amazing healthy eateries, juice spots, and the best energy-pumping classes all over the city, including top yoga and Pilates studios, juice bars, and gear shops.
Seed + Salt on Chestnut is one of my favorite spots. They are a Northern California chef-driven cuisine done clean – plant-based, organic, ethically & locally sourced, plus free of things that aren't always good for you like gluten, dairy, refined sugar, trans fats and GMOs.


text:
Double diffusivity model under stochastic forcing
Amit K. Chattopadhyay, Elias C. Aifantis
The "double diffusivity" model was proposed in the late 1970s, and reworked in the early 1980s, as a continuum counterpart to existing discrete models of diffusion corresponding to high diffusivity paths, such as grain boundaries and dislocation lines. It was later rejuvenated in the 1990s to interpret experimental results on diffusion in polycrystalline and nanocrystalline specimens where grain boundaries and triple grain boundary junctions act as high diffusivity paths. Technically, the model pans out as a system of coupled Fick-type diffusion equations to represent "regular" and "high" diffusivity paths with "source terms" accounting for the mass exchange between the two paths. The model remit was extended by analogy to describe flow in porous media with double porosity, as well as to model heat conduction in media with two nonequilibrium local temperature baths, e.g., ion and electron baths. Uncoupling of the two partial differential equations leads to a higher-ordered diffusion equation, solutions of which could be obtained in terms of classical diffusion equation solutions. Similar equations could also be derived within an "internal length" gradient (ILG) mechanics formulation applied to diffusion problems, i.e., by introducing nonlocal effects, together with inertia and viscosity, in a mechanics based formulation of diffusion theory. While being remarkably successful in studies related to various aspects of transport in inhomogeneous media with deterministic microstructures and nanostructures, its implications in the presence of stochasticity have not yet been considered. This issue becomes particularly important in the case of diffusion in nanopolycrystals whose deterministic ILG-based theoretical calculations predict a relaxation time that is only about one-tenth of the actual experimentally verified time scale. This article provides the "missing link" in this estimation by adding a vital element in the ILG structure, that of stochasticity, that takes into account all boundary layer fluctuations. Our stochastic-ILG diffusion calculation confirms rapprochement between theory and experiment, thereby benchmarking a new generation of gradient-based continuum models that conform closer to real-life fluctuating environments.
Physical Review E
Copyright (2017) Acoustical Society of America. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the Acoustical Society of America. The following article appeared in Chattopadhyay, A. K., & Aifantis, E. C. (2017). The double diffusivity model under stochastic forcing. Physical Review E, 95(5), 1-10. [052134] and may be found at http://dx.doi.org/10.1103/PhysRevE.95.052134
Accepted author manuscript, 615 KBLicence: Unspecified
https://journals.aps.org/pre/abstract/10.1103/PhysRevE.95.052134
Dive into the research topics of 'Double diffusivity model under stochastic forcing'. Together they form a unique fingerprint.
Diffusivity Mathematics 100%
Forcing Mathematics 84%
diffusivity Physics & Astronomy 78%
Grain Boundary Mathematics 75%
Gradient Mathematics 64%
Internal Mathematics 55%
Diffusion equation Mathematics 48%
Path Mathematics 46%
Chattopadhyay, A. K., & Aifantis, E. C. (2017). Double diffusivity model under stochastic forcing. Physical Review E, 95(5), [052134]. https://doi.org/10.1103/PhysRevE.95.052134
Chattopadhyay, Amit K. ; Aifantis, Elias C. / Double diffusivity model under stochastic forcing. In: Physical Review E. 2017 ; Vol. 95, No. 5.
@article{bdd5a96ddc1e435c94dfc19e1170cda1,
title = "Double diffusivity model under stochastic forcing",
abstract = "The {"}double diffusivity{"} model was proposed in the late 1970s, and reworked in the early 1980s, as a continuum counterpart to existing discrete models of diffusion corresponding to high diffusivity paths, such as grain boundaries and dislocation lines. It was later rejuvenated in the 1990s to interpret experimental results on diffusion in polycrystalline and nanocrystalline specimens where grain boundaries and triple grain boundary junctions act as high diffusivity paths. Technically, the model pans out as a system of coupled Fick-type diffusion equations to represent {"}regular{"} and {"}high{"} diffusivity paths with {"}source terms{"} accounting for the mass exchange between the two paths. The model remit was extended by analogy to describe flow in porous media with double porosity, as well as to model heat conduction in media with two nonequilibrium local temperature baths, e.g., ion and electron baths. Uncoupling of the two partial differential equations leads to a higher-ordered diffusion equation, solutions of which could be obtained in terms of classical diffusion equation solutions. Similar equations could also be derived within an {"}internal length{"} gradient (ILG) mechanics formulation applied to diffusion problems, i.e., by introducing nonlocal effects, together with inertia and viscosity, in a mechanics based formulation of diffusion theory. While being remarkably successful in studies related to various aspects of transport in inhomogeneous media with deterministic microstructures and nanostructures, its implications in the presence of stochasticity have not yet been considered. This issue becomes particularly important in the case of diffusion in nanopolycrystals whose deterministic ILG-based theoretical calculations predict a relaxation time that is only about one-tenth of the actual experimentally verified time scale. This article provides the {"}missing link{"} in this estimation by adding a vital element in the ILG structure, that of stochasticity, that takes into account all boundary layer fluctuations. Our stochastic-ILG diffusion calculation confirms rapprochement between theory and experiment, thereby benchmarking a new generation of gradient-based continuum models that conform closer to real-life fluctuating environments.",
author = "Chattopadhyay, {Amit K.} and Aifantis, {Elias C.}",
note = "Copyright (2017) Acoustical Society of America. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the Acoustical Society of America. The following article appeared in Chattopadhyay, A. K., & Aifantis, E. C. (2017). The double diffusivity model under stochastic forcing. Physical Review E, 95(5), 1-10. [052134] and may be found at http://dx.doi.org/10.1103/PhysRevE.95.052134",
Chattopadhyay, AK & Aifantis, EC 2017, 'Double diffusivity model under stochastic forcing', Physical Review E, vol. 95, no. 5, 052134. https://doi.org/10.1103/PhysRevE.95.052134
Double diffusivity model under stochastic forcing. / Chattopadhyay, Amit K.; Aifantis, Elias C.
In: Physical Review E, Vol. 95, No. 5, 052134, 22.05.2017.
T1 - Double diffusivity model under stochastic forcing
AU - Chattopadhyay, Amit K.
AU - Aifantis, Elias C.
N1 - Copyright (2017) Acoustical Society of America. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the Acoustical Society of America. The following article appeared in Chattopadhyay, A. K., & Aifantis, E. C. (2017). The double diffusivity model under stochastic forcing. Physical Review E, 95(5), 1-10. [052134] and may be found at http://dx.doi.org/10.1103/PhysRevE.95.052134
N2 - The "double diffusivity" model was proposed in the late 1970s, and reworked in the early 1980s, as a continuum counterpart to existing discrete models of diffusion corresponding to high diffusivity paths, such as grain boundaries and dislocation lines. It was later rejuvenated in the 1990s to interpret experimental results on diffusion in polycrystalline and nanocrystalline specimens where grain boundaries and triple grain boundary junctions act as high diffusivity paths. Technically, the model pans out as a system of coupled Fick-type diffusion equations to represent "regular" and "high" diffusivity paths with "source terms" accounting for the mass exchange between the two paths. The model remit was extended by analogy to describe flow in porous media with double porosity, as well as to model heat conduction in media with two nonequilibrium local temperature baths, e.g., ion and electron baths. Uncoupling of the two partial differential equations leads to a higher-ordered diffusion equation, solutions of which could be obtained in terms of classical diffusion equation solutions. Similar equations could also be derived within an "internal length" gradient (ILG) mechanics formulation applied to diffusion problems, i.e., by introducing nonlocal effects, together with inertia and viscosity, in a mechanics based formulation of diffusion theory. While being remarkably successful in studies related to various aspects of transport in inhomogeneous media with deterministic microstructures and nanostructures, its implications in the presence of stochasticity have not yet been considered. This issue becomes particularly important in the case of diffusion in nanopolycrystals whose deterministic ILG-based theoretical calculations predict a relaxation time that is only about one-tenth of the actual experimentally verified time scale. This article provides the "missing link" in this estimation by adding a vital element in the ILG structure, that of stochasticity, that takes into account all boundary layer fluctuations. Our stochastic-ILG diffusion calculation confirms rapprochement between theory and experiment, thereby benchmarking a new generation of gradient-based continuum models that conform closer to real-life fluctuating environments.
AB - The "double diffusivity" model was proposed in the late 1970s, and reworked in the early 1980s, as a continuum counterpart to existing discrete models of diffusion corresponding to high diffusivity paths, such as grain boundaries and dislocation lines. It was later rejuvenated in the 1990s to interpret experimental results on diffusion in polycrystalline and nanocrystalline specimens where grain boundaries and triple grain boundary junctions act as high diffusivity paths. Technically, the model pans out as a system of coupled Fick-type diffusion equations to represent "regular" and "high" diffusivity paths with "source terms" accounting for the mass exchange between the two paths. The model remit was extended by analogy to describe flow in porous media with double porosity, as well as to model heat conduction in media with two nonequilibrium local temperature baths, e.g., ion and electron baths. Uncoupling of the two partial differential equations leads to a higher-ordered diffusion equation, solutions of which could be obtained in terms of classical diffusion equation solutions. Similar equations could also be derived within an "internal length" gradient (ILG) mechanics formulation applied to diffusion problems, i.e., by introducing nonlocal effects, together with inertia and viscosity, in a mechanics based formulation of diffusion theory. While being remarkably successful in studies related to various aspects of transport in inhomogeneous media with deterministic microstructures and nanostructures, its implications in the presence of stochasticity have not yet been considered. This issue becomes particularly important in the case of diffusion in nanopolycrystals whose deterministic ILG-based theoretical calculations predict a relaxation time that is only about one-tenth of the actual experimentally verified time scale. This article provides the "missing link" in this estimation by adding a vital element in the ILG structure, that of stochasticity, that takes into account all boundary layer fluctuations. Our stochastic-ILG diffusion calculation confirms rapprochement between theory and experiment, thereby benchmarking a new generation of gradient-based continuum models that conform closer to real-life fluctuating environments.
UR - https://journals.aps.org/pre/abstract/10.1103/PhysRevE.95.052134
Chattopadhyay AK, Aifantis EC. Double diffusivity model under stochastic forcing. Physical Review E. 2017 May 22;95(5):052134. doi: 10.1103/PhysRevE.95.052134