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Abstract: We give an exact solution to the generalized Langevin equation of motion of acharged Brownian particle in a uniform magnetic field that is driven internallyby an exponentially-correlated stochastic force. A strong dissipation regime isdescribed in which the ensemble-averaged fluctuations of the velocity exhibittransient oscillations that arise from memory effects. Also, we calculategeneralized diffusion coefficients describing the transport of these particlesand briefly discuss how they are affected by the magnetic field strength andcorrelation time. Our asymptotic results are extended to the general case ofinternal driving by correlated Gaussian stochastic forces with finiteautocorrelation times.



Autor: Francis N. C. Paraan, Mikhail P. Solon, J. P. Esguerra

Fuente: https://arxiv.org/







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