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Time-Shift invariance determines the functional shape of the current in dissipative rocking ratchets

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Interdisciplinar de Sistemas Complejos (GISC)es
dc.contributor.authorCuesta, José A.
dc.contributor.authorQuintero, Niurka R.
dc.contributor.authorÁlvarez Nodarse, Renato
dc.date.accessioned2014-06-27T13:26:07Z
dc.date.available2014-06-27T13:26:07Z
dc.date.issued2013-11-18
dc.description.abstractRatchets are devices that are able to rectify an otherwise oscillatory behavior by exploiting an asymmetry of the system. In rocking ratchets, the asymmetry is induced through a proper choice of external forces and modulations of nonlinear symmetric potentials. The ratchet currents thus obtained in systems as different as semiconductors, Josephson junctions, optical lattices, or ferrofluids show a set of universal features. A satisfactory explanation for them has challenged theorists for decades, and so far, we still lack a general theory of this phenomenon. Here, we provide such a theory by exploring-through functional analysis-the constraints that the simple assumption of time-shift invariance of the ratchet current imposes on its dependence on the external drivings. Because the derivation is based on so general a principle, the resulting expression is valid irrespective of the details and the nature of the physical systems to which it is applied, and of whether they are classical, quantum, or stochastic. The theory also explains deviations observed from universality under special conditions and allows us to make predictions of phenomena not yet observed in any experiment or simulation.en
dc.description.sponsorshipWe acknowledge financial support through Grants No. MTM2012-36732-C03-03 (R. A.-N.), No. FIS2011-24540 (N. R. Q.), PRODIEVO, and Complexity-Net RESINEE (J. A. C.), from Ministerio de Economía y Competitividad (Spain); Grants No. FQM262 (R. A.-N.), No. FQM207 (N. R. Q.), No. FQM-7276, and No. P09-FQM-4643 (N. R. Q., R. A.-N.), from Junta de Andalucía (Spain); Project MODELICO-CM (J. A. C.), from Comunidad de Madrid (Spain); and a grant from the Humboldt Foundation through a Research Fellowship for Experienced Researchers No. SPA 1146358 STP (N. R. Q.).en
dc.format.extent10
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationPhysical review X, Vol.3, n.4(041014) (Nov. 2013)en
dc.identifier.doi10.1103/PhysRevX.3.041014
dc.identifier.issn2160-3308
dc.identifier.publicationfirstpage1es
dc.identifier.publicationissue4(041014)es
dc.identifier.publicationlastpage10es
dc.identifier.publicationtitlePhysical review Xen
dc.identifier.publicationvolume3es
dc.identifier.urihttps://hdl.handle.net/10016/19025
dc.identifier.uxxiAR/0000014277
dc.language.isoengen
dc.publisherAmerican Physical Societyen
dc.relation.projectIDComunidad de Madrid. S2009/ESP-1691/MODELICOes
dc.relation.projectIDGobierno de España. FIS2011-22449/PRODIEVO
dc.relation.projectIDGobierno de España. MTM2012-36732-C03-03
dc.relation.projectIDGobierno de España. FIS2011-24540
dc.relation.publisherversionhttp://dx.doi.org/10.1103/PhysRevX.3.041014es
dc.rightsPublished by the American Physical Society under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.en
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subject.ecienciaFísicaes
dc.subject.ecienciaIngeniería Mecánicaes
dc.subject.otherMagnetic-flux quantaen
dc.subject.otherBrownian motorsen
dc.subject.otherPeriodic potentialsen
dc.subject.otherTransporten
dc.subject.otherMotion drivesen
dc.titleTime-Shift invariance determines the functional shape of the current in dissipative rocking ratchetsen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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