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Intermediate dynamics between Newton and Langevin

Jing-Dong Bao·Yi-Zhong Zhuo·Fernando A. Oliveira·Peter Hanggi
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Abstract

A dynamics between Newton and Langevin formalisms is elucidated within the framework of the generalized Langevin equation. For thermal noise yielding a vanishing zero-frequency friction the corresponding non-Markovian Brownian dynamics exhibits anomalous behavior which is characterized by ballistic diffusion and accelerated transport. We also investigate the role of a possible initial correlation between the system degrees of freedom and the heat-bath degrees of freedom for the asymptotic long-time behavior of the system dynamics. As two test beds we investigate (i) the anomalous energy relaxation of free non-Markovian Brownian motion that is driven by a harmonic velocity noise and (ii) the phenomenon of a net directed acceleration in noise-induced transport of an inertial rocking Brownian motor.

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Jing-Dong Bao, Yi-Zhong Zhuo, Fernando A. Oliveira, Peter Hanggi. 2006-12-04. Intermediate dynamics between Newton and Langevin. https://doi.org/10.1103/physreve.74.061111

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