Fluctuation-dissipation theorem in nonequilibrium steady states
By U. Seifert, Thomas Speck. 2009
255 citations recorded by the source corpus.
In equilibrium, the fluctuation-dissipation theorem (FDT) expresses the response of an observable to a small perturbation by a correlation function of this variable with another one that is conjugate to the perturbation with respect to energy. For a nonequilibrium steady state (NESS), the corresponding FDT is shown to involve in the correlation function a variable that is conjugate with respect to entropy. By splitting up entropy production into one of the system and one of the medium, it is shown that for systems with a genuine equilibrium state the FDT of the NESS differs from its equilibrium form by an additive term involving total entropy production. A related variant of the FDT not requiring explicit knowledge of the stationary state is particularly useful for coupled Langevin systems. The a priori surprising freedom apparently involved in different forms of the FDT in a NESS is clarified.
Subfields: Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/45435186c9b5b6b592d0c1a27b56dd65006349eb
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In Statistical and Nonlinear Physics
Citations in the corpus
- Nonequilibrium Markov Processes Conditioned on Large Deviations (2014, background): “The generalized Doob transform also has interesting applications in physics: it appears in the stochastic mechanics of Nelson [114] and underlies, as shown in [109], the classical fluctuation–dissipation relations of near-equilibrium systems [54,115–117] and recent generalizations of these relations”
- Non-equilibrium statistical mechanics: from a paradigmatic model to biological transport (2011, unknown): “The generalization of the fluctuation–dissipation theorem to NESM is a major topic [34, 74] and lies outside our scope.”
- Nonequilibrium physics in biology (2019, background): “(Cugliandolo et al., 1997; Feng and Wang, 2011; Prost et al., 2009; Seifert, 2005; Seifert and Speck, 2010).”
- Temperature in and out of equilibrium: A review of concepts, tools and attempts (2017, background): “Similar formulae derived following different approaches, and generalized even to non-stationary conditions, have been proposed recently [124, 125, 126].”
- An update on the nonequilibrium linear response (2012, methodology): “Seifert and Speck [5] have introduced a classification of some fluctuation–dissipation theorems into three classes.”
- Stochastic thermodynamics, fluctuation theorems and molecular machines (2012, background): “In equilibrium, using the global detailed balance condition (113), one easily verifies ∂hṡ m ∼= Ba and hence one has the equilibrium FDT TReqA (τ2 − τ1) = 〈A(τ2)B a(τ1)〉 eq = 〈A(τ2)∂hṡ m(τ1)〉 eq.”
- Frenesy: Time-symmetric dynamical activity in nonequilibria (2019, result): “We refer to [81–94] for other approaches and many more results, but even then there are various other ideas.”