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The flashing ratchet and unidirectional transport of matter - MaRDI portal

The flashing ratchet and unidirectional transport of matter

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DOI10.3934/dcdsb.2011.16.963zbMath1222.35015arXiv1003.3422OpenAlexW2168216965MaRDI QIDQ717942

Dmitry A. Vorotnikov

Publication date: 10 October 2011

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.3422

zbMATH Keywords

transport Fokker-Planck equation periodic solution Markov chain Brownian motor flashing ratchet

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Transport processes in time-dependent statistical mechanics (82C70) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Fokker-Planck equations (35Q84)

Related Items (2)

Analytical aspects of the Brownian motor effect in randomly flashing ratchets ⋮ On the Bulk Velocity of Brownian Ratchets

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