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arXiv · 1109.2871

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

Dibyendu Mandal·Christopher Jarzynski
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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.

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Dibyendu Mandal, Christopher Jarzynski. 2011-09-13. A proof by graphical construction of the no-pumping theorem of stochastic pumps. https://doi.org/10.1088/1742-5468%2F2011%2F10%2Fp10006

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