Publication
The flashing ratchet and unidirectional transport of matter
| Summary: | 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 |
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| Main Authors: | Vorotnikov, Dmitry |
| Subject: | Ashing ratchet Brownian motor Fokker-Planck equation Periodic solution Markov chain Transport |
| Year: | 2010 |
| Country: | Portugal |
| Document type: | preprint |
| Access type: | open access |
| Associated institution: | Universidade de Coimbra |
| Language: | English |
| Origin: | Estudo Geral - Universidade de Coimbra |
| Summary: | 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 |
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