into 100 boxes of area = 1x1 a.u. At Abox time = 0, all the gas molecules (N = 600) are t released from the box outlined in red. One of the gas molecules is marked so that you can track its movements. tp_equilibrium.m The initial state of the gas at = 0 has the most t order since the molecules are located into the smallest volume element and there is only one arrangement possible for this as all the molecules are in one of the boxes. After the gas is released, each molecule moves a random distance and direction in each time step. We are interested in how the molecules arrange themselves in the 100 boxes as time flows. The movement of the gas molecules is shown in the animation of figure 2. Fig. 2. Animation of gas molecules released from the red enclosed box at time = 0. t The distribution of the gas molecules evolves to states that are more probable. This means the gas molecules after being released will eventually fill uniformly the entire enclosure. The system evolves with time to the state which has its maximum entropy and this corresponds to the most probable state. The system evolves to an equilibrium state in which each box has the same number of molecules in it since this is the state in which there is the greatest number of ways in which the gas molecules can arrange themselves in the 100 boxes. Figures 3, 4 and 5 ( tp_equilibrium.m ) show the percentage of the gas molecules in the red box (unit area = 1x1 a.u.) the box from which Abox – the particles were released from. Since there are N 100 boxes, in the equilibrium state (state with the maximum number of ways the particles can arrange themselves the most probable state state
into 100 boxes of area Abox = 1x1 a.u. At time t = 0, all the gas molecules (N = 600) are released from the box outlined in red. One of the gas molecules is marked so that you can track its movements. tp_equilibrium.m The initial state of the gas at t = 0 has the most order since the molecules are located into the smallest volume element and there is only one arrangement possible for this as all the molecules are in one of the boxes. After the gas is released, each molecule moves a random distance and direction in each time step. We are interested in how the molecules arrange themselves in the 100 boxes as time flows. The movement of the gas molecules is shown in the animation of figure 2. Fig. 2. Animation of gas molecules released from the red enclosed box at time t = 0. The distribution of the gas molecules evolves to states that are more probable. This means the gas molecules after being released will eventually fill uniformly the entire enclosure. The system evolves with time to the state which has its maximum entropy and this corresponds to the most probable state. The system evolves to an equilibrium state in which each box has the same number of molecules in it since this is the state in which there is the greatest number of ways in which the gas molecules can arrange themselves in the 100 boxes. Figures 3, 4 and 5 ( tp_equilibrium.m ) show the percentage of the gas molecules in the red box (unit area Abox = 1x1 a.u.) – the box from which the N particles were released from. Since there are 100 boxes, in the equilibrium state (state with the maximum number of ways the particles can arrange themselves the most probable state state
tp_equilibrium_docx.docx