Brownian motion of a charged particle driven internally by correlated noise

Details Brownian motion of a charged particle driven internally by correlated noise Brownian motion of a charged particle driven internally by correlated noise

2007-08-31

arxiv.org/abs/0709.0017v2

Phys. Rev. E 77, 022101 (2008)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 4 figures with subfigures, RevTeX, v2: revised

Scientific paper

10.1103/PhysRevE.77.022101

We 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.

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