Intermediate dynamics between Newton and Langevin

Details Intermediate dynamics between Newton and Langevin Intermediate dynamics between Newton and Langevin

2006-12-04

arxiv.org/abs/cond-mat/0612090v1

Phys. Rev. E 74, 061111 (2006)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 2 figures, Physical Review E (in press)

Scientific paper

10.1103/PhysRevE.74.061111

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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