Memory effects in nonlinear transport: kinetic equations and ratchet devices

I Santamarı́a-Holek and J.m Rubı́

Physica A: Statistical Mechanics and its Applications, 2003, vol. 326, issue 3, 384-399

Abstract: We present a new method to derive kinetic equations for systems undergoing nonlinear transport in the presence of memory effects. In the framework of mesoscopic nonequilibrium thermodynamics, we obtain a generalized Fokker–Planck equation incorporating memory effects through time-dependent coefficients. As applications, we first discuss the nonMarkovian 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.

Keywords: Memory effects; Nonlinear transport; Fokker–Planck equation; Langevin equation; Ratchet devices (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:326:y:2003:i:3:p:384-399

DOI: 10.1016/S0378-4371(03)00269-3

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