Av. Savin et al., REVERSAL EFFECTS IN STOCHASTIC KINK DYNAMICS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(3), 1997, pp. 2457-2466
We study collective regular and stochastic dynamics in a chain of harm
onically coupled particles subjected to an on-site potential with two
degenerate energy wells but with differing frequencies of small-amplit
ude oscillations at their minima. We identify and study asymmetry-indu
ced properties of a Peierls-Nabarro relief, kink-antikink interactions
, and stochastic kink motion. In particular, we predict analytically a
nd confirm numerically directed noise-induced soliton motion when the
chain particles are driven by white and exponentially correlated noise
. The difference of frequencies of oscillations in the vicinity of the
wells is shown to be a sufficient condition for the existence of such
a directed kink motion. We find that under certain conditions a rever
sal of the soliton motion takes place; these conditions involve the no
ise properties such as a critical correlation time or noise strength o
r the presence of an external d.c, field. In particular, we find that
above some critical value of temperature, the directed soliton transpo
rt occurs against an applied d.c. field.