Abstract
A stochastic pump is a Markov model of a mesoscopic system evolving under the control ofexternally varied parameters. In the model, the system makes random transitions among anetwork of states. For such models, a ‘no-pumping theorem’ has been obtained, whichidentifies minimal conditions for generating directed motion or currents. We provide aderivation of this result using a simple graphical construction on the network ofstates.
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