Discrete soliton ratchets driven by biharmonic fields.

Full Abstract

Directed motion of topological solitons (kinks or antikinks) in the damped and ac-driven discrete sine-Gordon system is investigated. We show that if the driving field breaks certain time-space symmetries, the soliton can perform unidirectional motion. The phenomenon resembles the well known effects of ratchet transport and nonlinear harmonic mixing. Direction of the motion and its velocity depends on the shape of the ac drive. Necessary conditions for the occurrence of the effect are formulated. In comparison with the previously studied continuum case, the discrete case shows a number of new features:
nonzero depinning threshold for the driving amplitude, locking to the rational fractions of the driving frequency, and diffusive ratchet motion in the case of weak intersite coupling.

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Author information

Author/s: Zolotaryuk, Yaroslav (Y); Salerno, Mario (M);

Affiliation: Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kyiv 03143, Ukraine.

Journal and publication information

Publication Type: Journal Article

Journal: Physical review. E, Statistical, nonlinear, and soft matter physics (Phys Rev E Stat Nonlin Soft Matter Phys), published in United States. (Language: eng)

Reference: 2006-Jun; vol 73 (issue 6 Pt 2) : pp 066621

Dates: Created 2006/08/15; Completed 2006/11/20;

PMID: 16907011, status: PubMed-not-MEDLINE (last retrieval date: 12/26/2008)

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