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Ratchet effect on a relativistic particle driven by external forces

Opened Access Ratchet effect on a relativistic particle driven by external forces

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Autor: Quintero, Niurka R.
Álvarez Nodarse, Renato
Cuesta Ruiz, José Antonio
Departamento: Universidad de Sevilla. Departamento de Análisis Matemático
Fecha: 2011
Publicado en: Journal of Physics. A, Mathematical and general, 44, 425205-1-425205-10.
Tipo de documento: Artículo
Resumen: We study the ratchet effect of a damped relativistic particle driven by both asymmetric temporal bi-harmonic and time-periodic piecewise constant forces. This system can be formally solved for any external force, providing the ratchet velocity as a non-linear functional of the driving force. This allows us to explicitly illustrate the functional Taylor expansion formalism recently proposed for this kind of systems. The Taylor expansion reveals particularly useful to obtain the shape of the current when the force is periodic, piecewise constant. We also illustrate the somewhat counterintuitive effect that introducing damping may induce a ratchet effect. When the force is symmetric under time-reversal and the system is undamped, under symmetry principles no ratchet effect is possible. In this situation increasing damping generates a ratchet current which, upon increasing the damping coefficient eventually reaches a maximum and decreases toward zero. We argue that this effect is not spe...
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Cita: Rodríguez Quintero, N., Álvarez Nodarse, R. y Cuesta Ruiz, J.A. (2011). Ratchet effect on a relativistic particle driven by external forces. Journal of physics. A, Mathematical and general, 44, 425205-1-425205-10.
Tamaño: 168.0Kb
Formato: PDF

URI: http://hdl.handle.net/11441/41753

DOI: 10.1088/1751-8113/44/42/425205

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