Memory effects in nonlinear transport: kinetic equations and ratchet devices
统计力学
2009-11-10 v1 软凝聚态物质
摘要
We present a new method to derive kinetic equations for systems undergoing non-linear transport in the presence of memory effects. In the framework of mesoscopic nonequilibrium thermodynamics, we derive a generalized Fokker-Planck equation incorporating memory effects through time-dependent coefficients. As applications, we first discuss the non-Markovian dynamics of anomalous diffusion in a potential, analyzing the validity of the fluctuation-dissipation theorem. In a second application, we propose a new ratchet mechanism in which the periodic driving acting on the particle is induced by the Onsager coupling of the diffusion current with an oscillating thermodynamic force.
引用
@article{arxiv.cond-mat/0301261,
title = {Memory effects in nonlinear transport: kinetic equations and ratchet devices},
author = {I. Santamaria-Holek and J. M. Rubi},
journal= {arXiv preprint arXiv:cond-mat/0301261},
year = {2009}
}
备注
12 pages, 3 figures