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Ratchet effect on a relativistic particle driven by external forces

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Interdisciplinar de Sistemas Complejos (GISC)es
dc.contributor.authorQuintero, Niurka R.
dc.contributor.authorÁlvarez Nodarse, Renato
dc.contributor.authorCuesta, José A.
dc.date.accessioned2014-07-22T13:48:39Z
dc.date.available2014-07-22T13:48:39Z
dc.date.issued2011-10-21
dc.description.abstractWe 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 nonlinear 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 specific of this example and should appear in any ratchet system with tunable damping driven by a time-reversible external force.en
dc.description.sponsorshipWe acknowledge financial support through grants MTM2009-12740-C03-02 (RAN), FIS2008-02380/FIS (NRQ) and MOSAICO, Complexity-NET RESINEE and PRODIEVO/FIS2011-22449 (JAC) (from Ministerio de Educación y Ciencia, Spain), grants FQM262 (RAN), FQM207 (NRQ) and P09-FQM-4643 (NRQ, RAN) (from Junta de Andalucía, Spain), and project MODELICO-CM (JAC) (from Comunidad de Madrid, Spain).en
dc.format.extent10es
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationJournal of physics A, mathematical and theoretical (2011), v. 44 (42, art. 425205), pp.1-10en
dc.identifier.doi10.1088/1751-8113/44/42/425205
dc.identifier.issn1751-8113
dc.identifier.issn1751-8121 (online)
dc.identifier.publicationfirstpage1es
dc.identifier.publicationissue42 (425205)es
dc.identifier.publicationlastpage10es
dc.identifier.publicationtitleJournal of physics. A, mathematical and theoreticalen
dc.identifier.publicationvolume44es
dc.identifier.urihttps://hdl.handle.net/10016/19152
dc.identifier.uxxiAR/0000009407
dc.language.isoengen
dc.publisherIOP scienceen
dc.relation.projectIDComunidad de Madrid. S2009/ESP-1691/MODELICOes
dc.relation.projectIDGobierno de España. MTM2009-12740-C03-02
dc.relation.projectIDGobierno de España. FIS2008-02380/FIS
dc.relation.projectIDGobierno de España. FIS2006-01485/MOSAICO
dc.relation.projectIDGobierno de España. FIS2011-22449/PRODIEVO
dc.relation.publisherversionhttp://dx.doi.org/10.1088/1751-8113/44/42/425205es
dc.rights© 2011 IOP Publishing Ltden
dc.rights.accessRightsopen accessen
dc.subject.ecienciaFísicaes
dc.subject.ecienciaMatemáticases
dc.subject.otherMathematical physicsen
dc.subject.otherCondensed matter: structural, mechanical & thermalen
dc.subject.otherStatistical physics and nonlinear systemsen
dc.titleRatchet effect on a relativistic particle driven by external forcesen
dc.typeresearch article*
dc.type.hasVersionSMUR*
dspace.entity.typePublication
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