Rectification of confined diffusion driven by a sinusoidal force

Pavol Kalinay
Phys. Rev. E 89, 042123 – Published 15 April 2014

Abstract

A particle diffusing in an asymmetric periodic channel, driven by a sinusoidal force F(t)=F0cosωt (the rocking ratchet) is considered. The asymptotic solution of the generalized Fick–Jacobs equation describing the system is studied in the nonadiabatic regime. The leading term of the rectified current, appearing in the order F02, is derived. The method presented enables us to solve the problem analytically for a sawtooth channel and also to look for approximative formulas applicable in a wide range of frequencies ω. Even the simplest approximation qualitatively reproduces the current reversal at higher frequencies as the result of growing phase lag of the rocking density behind the driving force.

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  • Received 6 February 2014

DOI:https://doi.org/10.1103/PhysRevE.89.042123

©2014 American Physical Society

Authors & Affiliations

Pavol Kalinay

  • Institute of Physics, Slovak Academy of Sciences, Dúbravska cesta 9, 84511, Bratislava, Slovakia

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Issue

Vol. 89, Iss. 4 — April 2014

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