Analysis of slow transitions between nonequilibrium steady states. (16th June 2016)

• Record Type: Journal Article
• Authors: Mandal, Dibyendu; Jarzynski, Christopher
• Is Part Of: Journal of statistical mechanics. (2016:Jun.)
• Publication Date: 2016-06-16
• Subjects: Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/2016/06/063204
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: Transitions between nonequilibrium steady states obey a generalized Clausius inequality, which becomes an equality in the quasistatic limit. For slow but finite transitions, we show that the behavior of the system is described by a response matrix whose elements are given by a far-from-equilibrium Green–Kubo formula, involving the decay of correlations evaluated in the nonequilibrium steady state. This result leads to a fluctuation-dissipation relation between the mean and variance of the nonadiabatic entropy production, Δ s n a . Furthermore, our results extend—to nonequilibrium steady states—the thermodynamic metric structure introduced by Sivak and Crooks for analyzing minimal-dissipation protocols for transitions between equilibrium states.