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Phys Rev Lett. 2008 Oct 17;101(16):160601. Epub 2008 Oct 15.

Pumping restriction theorem for stochastic networks.

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  • 1Department of Chemistry, Wayne State University, 5101 Cass Avenue, Detroit, MI 48202, USA.


We formulate an exact result, which we refer to as the pumping restriction theorem (PRT). It imposes strong restrictions on the currents generated by periodic driving in a generic dissipative system with detailed balance, and provides a universal nonperturbative approach to explore the stochastic pump effect in nonadiabatically driven systems.

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