A proof by graphical construction of the no-pumping theorem of stochastic pumps
Statistical Mechanics
2012-03-16 v1
Abstract
A stochastic pump is a Markov model of a mesoscopic system evolving under the control of externally varied parameters. In the model, the system makes random transitions among a network of states. For such models, a "no-pumping theorem" has been obtained, which identifies minimal conditions for generating directed motion or currents. We provide a derivation of this result using a simple graphical construction on the network of states.
Cite
@article{arxiv.1109.2871,
title = {A proof by graphical construction of the no-pumping theorem of stochastic pumps},
author = {Dibyendu Mandal and Christopher Jarzynski},
journal= {arXiv preprint arXiv:1109.2871},
year = {2012}
}