Memory effects in nonlinear transport: kinetic equations and ratchet devices

I. Santamaria-Holek; J. M. Rubi

doi:10.1016/s0378-4371(03)00269-3

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arXiv · cond-mat/0301261

Memory effects in nonlinear transport: kinetic equations and ratchet devices

I. Santamaria-Holek·J. M. Rubi

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Abstract

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.

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I. Santamaria-Holek, J. M. Rubi. 2003-01-15. Memory effects in nonlinear transport: kinetic equations and ratchet devices. https://doi.org/10.1016/s0378-4371(03)00269-3

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