ac-driven Brownian motors: a Fokker-Planck treatment

Details ac-driven Brownian motors: a Fokker-Planck treatment ac-driven Brownian motors: a Fokker-Planck treatment

2008-10-31

arxiv.org/abs/0810.5612v1

Am. J. of Phys. 77, 602 (2009)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1119/1.3089530

We consider a primary model of ac-driven Brownian motors, i.e., a classical particle placed in a spatial-time periodic potential and coupled to a heat bath. The effects of fluctuations and dissipations are studied by a time-dependent Fokker-Planck equation. The approach allows us to map the original stochastic problem onto a system of ordinary linear algebraic equations. The solution of the system provides complete information about ratchet transport, avoiding such disadvantages of direct stochastic calculations as long transients and large statistical fluctuations. The Fokker-Planck approach to dynamical ratchets is instructive and opens the space for further generalizations.

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