Soliton ratchet induced by random transitions among symmetric sine-Gordon potentials
| Autor: | Bernardo Sánchez-Rey, Jesús Casado-Pascual, Niurka R. Quintero |
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| Rok vydání: | 2019 |
| Předmět: |
Physics
Stochastic process Applied Mathematics Ratchet Phase (waves) General Physics and Astronomy Markov process Statistical and Nonlinear Physics sine-Gordon equation 01 natural sciences Symmetry (physics) 010305 fluids & plasmas symbols.namesake Quantum mechanics 0103 physical sciences Homogeneous space symbols Soliton 010306 general physics Mathematical Physics |
| Zdroj: | Chaos: An Interdisciplinary Journal of Nonlinear Science. 29:053119 |
| ISSN: | 1089-7682 1054-1500 |
| DOI: | 10.1063/1.5092797 |
| Popis: | The generation of net soliton motion induced by random transitions among N symmetric phase-shifted sine-Gordon potentials is investigated, in the absence of any external force and without any thermal noise. The phase shifts of the potentials and the damping coefficients depend on a stationary Markov process. Necessary conditions for the existence of transport are obtained by an exhaustive study of the symmetries of the stochastic system and of the soliton velocity. It is shown that transport is generated by unequal transfer rates among the phase-shifted potentials or by unequal friction coefficients or by a properly devised combination of potentials ( N > 2). Net motion and inversions of the currents, predicted by the symmetry analysis, are observed in simulations as well as in the solutions of a collective coordinate theory. A model with high efficient soliton motion is designed by using multistate phase-shifted potentials and by breaking the symmetries with unequal transfer rates. |
| Databáze: | OpenAIRE |
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