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Ratchet effect in a damped sine-Gordon system with additive and parametric ac driving forces

Opened Access Ratchet effect in a damped sine-Gordon system with additive and parametric ac driving forces

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Autor: Zamora-Sillero, Elías
Quintero, Niurka R.
Mertens, Franz G.
Departamento: Universidad de Sevilla. Departamento de Física Aplicada I
Fecha: 2006
Publicado en: Physical Review E, 74 (4), 046607: 1-9
Tipo de documento: Artículo
Resumen: We study in detail the damped sine-Gordon equation, driven by two ac forces (one is added as a parametric perturbation and the other one in an additive way), as an example of soliton ratchets. By means of a collective coordinate approach we derive an analytical expression for the average velocity of the soliton, which allows us to show that this mechanism of transport requires certain relationships both between the frequencies and between the initial phases of the two ac forces. The control of the velocity by the damping coefficient and parameters of the ac forces is also presented and discussed. All these results are subsequently checked by means of simulations for the driven and damped sine-Gordon equation that we have studied.
Tamaño: 535.4Kb
Formato: PDF

URI: http://hdl.handle.net/11441/23785

DOI: 10.1103/PhysRevE.74.046607

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