A proof by graphical construction of the no-pumping theorem of stochastic pumps

Details A proof by graphical construction of the no-pumping theorem of stochastic pumps A proof by graphical construction of the no-pumping theorem of stochastic pumps

2011-09-13

arxiv.org/abs/1109.2871v1

J. Stat. Mech. (2011) P10006

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1088/1742-5468/2011/10/P10006

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.

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