The flashing ratchet and unidirectional transport of matter
Analysis of PDEs
2012-01-13 v2 Mathematical Physics
math.MP
Abstract
We study the flashing 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 diffusion 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.
Keywords
Cite
@article{arxiv.1003.3422,
title = {The flashing ratchet and unidirectional transport of matter},
author = {Dmitry Vorotnikov},
journal= {arXiv preprint arXiv:1003.3422},
year = {2012}
}
Comments
11 pages