Fluctuation-driven directed transport in the presence of Levy flights

Details Fluctuation-driven directed transport in the presence of Levy flights Fluctuation-driven directed transport in the presence of Levy flights

2007-10-03

arxiv.org/abs/0710.0883v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1016/j.physa.2008.08.034

Numerical evidence of directed transport driven by symmetric Levy noise in time-independent ratchet potentials in the absence of an external tilting force is presented. The results are based on the numerical solution of the fractional Fokker-Planck equation in a periodic potential and the corresponding Langevin equation with Levy noise. The Levy noise drives the system out of thermodynamic equilibrium and an up-hill net current is generated. For small values of the noise intensity there is an optimal value of the Levy noise index yielding the maximum current. The direction and magnitude of the current can be manipulated by changing the Levy noise asymmetry and the potential asymmetry.

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