  The stochastic motion of a particle with long-range correlated increments
(the moving phase) which is intermittently interrupted by immobilizations (the
traping phase) in a disordered medium is considered in the presence of an
external drift. In particular, we consider trapping events whose times follow a
scale-free distribution with diverging mean trapping time. We construct this
process in terms of fractional Brownian motion (FBM) with constant forcing in
which the trapping effect is introduced by the subordination technique,
connecting "operational time" with observable "real time". We derive the
statistical properties of this process such as non-Gaussianity and
non-ergodicity, for both ensemble and single-trajectory (time) averages. We
demonstrate nice agreement with extensive simulations for the probability
density function, skewness, kurtosis, as well as ensemble and time-averaged
mean squared displacements. We pay specific emphasis on the comparisons between
the cases with and without drift.

Statistical Mechanics;Fluid Dynamics