English

Generalized Jarzynski Equality under Nonequilibrium Feedback Control

Statistical Mechanics 2015-05-13 v3

Abstract

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.

Keywords

Cite

@article{arxiv.0907.4914,
  title  = {Generalized Jarzynski Equality under Nonequilibrium Feedback Control},
  author = {Takahiro Sagawa and Masahito Ueda},
  journal= {arXiv preprint arXiv:0907.4914},
  year   = {2015}
}
R2 v1 2026-06-21T13:29:58.699Z