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

作者:Mandal Dibyendu*; Jarzynski Christopher
来源:Journal of Statistical Mechanics: Theory and Experiment , 2011, P10006.
DOI:10.1088/1742-5468/2011/10/P10006

摘要

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.

  • 出版日期2011-10