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Ratchet and switching effects in stochastic kink dynamics
Institution:1. Physics Department, University of Crete, P.O. Box 2208, 71003 Heraklion, Crete, Greece;2. Foundation for Research and Technology - Hellas, P.O. Box 2208, 71003 Heraklion, Crete, Greece;1. School of Chemical Engineering and Technology, Tianjin University, Tianjin, China;2. School of Chemical Engineering and Technology, Renai College of Tianjin University, Tianjin, China;1. Financial Engines, Inc., 1050 Enterprise Way, Sunnyvale, CA 94089, USA;2. Stanford Graduate School of Business, 655 Knight Way, Stanford, CA 94305, USA;3. Retiree Research Center, Financial Engines, Inc., 1050 Enterprise Way, Sunnyvale, CA 94089, USA
Abstract:We study collective dynamics in a chain of harmonically coupled particles subjected to degenerate but asymmetric on-site double-well potentials and driven by white and exponentially correlated noise. The difference of frequencies of small-amplitude oscillations in the vicinity of the wells appears to be a sufficient condition for the existence of the soliton ratchet effect. We find directed thermally activated soliton motion while at certain critical values of either the correlation time or noise strength, a reversal (switching) of the direction of motion takes place. Furthermore, we observe stochastic soliton transport directed against an applied d.c. field.
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