Generalized Jarzynski Equality under Nonequilibrium Feedback Control

Details Generalized Jarzynski Equality under Nonequilibrium Feedback Control Generalized Jarzynski Equality under Nonequilibrium Feedback Control

2009-07-28

arxiv.org/abs/0907.4914v3

Phys. Rev. Lett. 104, 090602 (2010)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

The Jarzynski equality is generalized to situations in which nonequilibrium systems are subject to a feedback control. The new terms that arise as a consequence of the feedback describe the mutual information content obtained by measurement and the efficacy of the feedback control. Our results lead to a generalized fluctuation-dissipation theorem that reflects the readout information, and can be experimentally tested using small thermodynamic systems. We illustrate our general results by an introducing "information ratchet," which can transport a Brownian particle in one direction and extract a positive work from the particle.

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