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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/5275
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dc.contributor.authorKumar, N.-
dc.date.accessioned2012-09-04T06:05:29Z-
dc.date.available2012-09-04T06:05:29Z-
dc.date.issued2012-01-
dc.identifier.citationPhysical Review E, 2012, Vol.85, p 011114en
dc.identifier.issn1539-3755-
dc.identifier.issn1550-2376 (Online)-
dc.identifier.urihttp://hdl.handle.net/2289/5275-
dc.descriptionOpen Accessen
dc.description.abstractWe present an analytical treatment of the dissipative-stochastic dynamics of a charged classical particle confined biharmonically in a plane with a uniform static magnetic field directed perpendicular to the plane. The stochastic dynamics gives a steady state in the long-time limit. We have examined the orbital magnetic effect of introducing a parametrized deviation (η-1) from the second fluctuation-dissipation relation that connects the driving noise and the frictional memory kernel in the standard Langevin dynamics. The main result obtained here is that the moving charged particle generates a finite orbital magnetic moment in the steady state, and that the moment shows a crossover from para- to diamagnetic sign as the parameter η is varied. It is zero for η=1 that makes the steady state correspond to equilibrium, as it should. The magnitude of the orbital magnetic moment turns out to be a nonmonotonic function of the applied magnetic field, tending to zero in the limit of an infinitely large as well as an infinitesimally small magnetic field. These results are discussed in the context of the classic Bohr-van Leeuwen theorem on the absence of classical orbital diamagnetism. Possible realization is also briefly discussed.en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttp://arxiv.org/abs/1110.4749en
dc.relation.urihttp://dx.doi.org/10.1103/PhysRevE.85.011114en
dc.relation.urihttp://adsabs.harvard.edu/abs/2012PhRvE..85a1114Ken
dc.rights2012 American Physical Societyen
dc.subjectFluctuation phenomenaen
dc.subjectrandom processesen
dc.subjectnoiseen
dc.subjectBrownian motionen
dc.subjectStochastic analysis methodsen
dc.subjectDiamagnetismen
dc.subjectparamagnetismen
dc.subjectsuperparamagnetismen
dc.titleClassical orbital magnetic moment in a dissipative stochastic systemen
dc.typeArticleen
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