NUMERICAL APPROACH TO FOKKER–PLANCK EQUATIONS FOR BROWNIAN MOTORS

Marcin Kostur ()
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Marcin Kostur: Department of Physics, University of Maine, 04473 Orono, Maine, USA;

International Journal of Modern Physics C (IJMPC), 2002, vol. 13, issue 09, 1157-1176

Abstract: The numerical approach to a large class of one- and two-dimensional Fokker–Planck equations (FPE) often encountered in modeling Brownian Motors is presented. The method is based on Finite Element scheme with additional modifications for specific problems. We compare results from discretization of FPE with those obtained from Monte Carlo (MC) simulation of the corresponding Langevin equations. Accuracy, efficiency and applicability are also discussed.

Keywords: Fokker–Planck equation; numerical; ratchet; motors; Brownian (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1142/S0129183102004030

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