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Title: The flashing ratchet and unidirectional transport of matter
Authors: Vorotnikov, Dmitry 
Keywords: Ashing ratchet; Brownian motor; Fokker-Planck equation; Periodic solution; Markov chain; Transport
Issue Date: 2010
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 10-15 (2010)
Serial title, monograph or event: Pré-Publicações DMUC
Issue: 10-15
Place of publication or event: Coimbra
Abstract: We study the ashing ratchet model of a Brownian motor, which consists in cyclical switching between the Fokker-Planck equation with an asymmetric ratchet-like potential and the pure di usion equation. We show that the motor really performs unidirectional transport of mass, for proper parameters of the model, by analyzing the attractor of the problem and the stationary vector of a related Markov chain
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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