REVERSAL EFFECTS IN STOCHASTIC KINK DYNAMICS

Citation
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
Citations number
26
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
56
Issue
3
Year of publication
1997
Part
A
Pages
2457 - 2466
Database
ISI
SICI code
1063-651X(1997)56:3<2457:REISKD>2.0.ZU;2-M
Abstract
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.