Journal
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Volume -, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1742-5468/2011/10/P10006
Keywords
stochastic particle dynamics (theory)
Categories
Funding
- National Science Foundation (USA) [ECCS-0925365, DMR-0906601]
- University of Maryland, College Park
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [906601] Funding Source: National Science Foundation
- Directorate For Engineering
- Div Of Electrical, Commun & Cyber Sys [0925365] Funding Source: National Science Foundation
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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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