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https://hdl.handle.net/10316/13701| 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 | URI: | https://hdl.handle.net/10316/13701 | Rights: | openAccess |
| Appears in Collections: | FCTUC Matemática - Vários |
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|---|---|---|---|---|
| The flashing ratchet and unidirectional transport of matter.pdf | 222.06 kB | Adobe PDF | View/Open |
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