Brownian motion of a charged particle driven internally by correlated noise

dc.creatorParaan, Francis N. C.
dc.creatorSolon, Mikhail P.
dc.creatorEsguerra, J. P.
dc.date2007-08-31
dc.date2007-12-04
dc.date.accessioned2026-07-07T09:20:05Z
dc.date.available2026-07-07T09:20:05Z
dc.descriptionWe give an exact solution to the generalized Langevin equation of motion of a charged Brownian particle in a uniform magnetic field that is driven internally by an exponentially-correlated stochastic force. A strong dissipation regime is described in which the ensemble-averaged fluctuations of the velocity exhibit transient oscillations that arise from memory effects. Also, we calculate generalized diffusion coefficients describing the transport of these particles and briefly discuss how they are affected by the magnetic field strength and correlation time. Our asymptotic results are extended to the general case of internal driving by correlated Gaussian stochastic forces with finite autocorrelation times.
dc.description10 pages, 4 figures with subfigures, RevTeX, v2: revised
dc.identifierhttps://arxiv.org/abs/0709.0017
dc.identifierhttp://arxiv.org/abs/0709.0017
dc.identifierPhys. Rev. E 77, 022101 (2008)
dc.identifierdoi:10.1103/PhysRevE.77.022101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154617
dc.subjectStatistical Mechanics
dc.titleBrownian motion of a charged particle driven internally by correlated noise
dc.typetext

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