Path-integral analysis of fluctuation theorems for general Langevin processes

By V. Chernyak, M. Chertkov, Christopher Jarzynski. 2006

181 citations recorded by the source corpus.

We examine classical, transient fluctuation theorems within the unifying framework of Langevin dynamics. We explicitly distinguish between the effects of non-conservative forces that violate detailed balance, and non-autonomous dynamics arising from the variation of an external parameter. When both these sources of nonequilibrium behaviour are present, there naturally arise two distinct fluctuation theorems.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/29f74e04020bdff5321c90c5c81fcfbca617f515

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In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems (2008, background): “A second class of FTs is concerned with entropy fluctuations in closed systems described by deterministic thermostatted equations of motions [37, 57, 58, 59, 60, 72, 73, 157] and a third class treats the fluctuations of entropy (or related quantities such as irreversible work, heat and matter curren”
Fluctuation Relations for Diffusion Processes (2007, methodology): “Finally, within the stochastic approach, the scope of the transient fluctuation relations was further extended due to the works of Crooks [18, 19], Jarzynski [51], Hatano and Sasa [46], Speck and Seifert [77] and Chernyak, Chertkov and Jarzynski [10], just to cite only the papers that influenced mos”
Refined Second Law of Thermodynamics for Fast Random Processes (2012, background): “[15, 43] or [16] for the interpretation of Stot as a relative entropy of the processes with direct and time-reversed protocols along the lines proposed first in [39].”
Stochastic thermodynamics, fluctuation theorems and molecular machines (2012, background): “Explicitly, one obtains for the three types of conjugate dynamics: (i) By choosing the reversed dynamics (72) and with (73), the class of IFTs 〈 p1(xt) p0(x0) exp[−∆sm] 〉 = 1 (80) follows for any initial condition p0(x0), any length of trajectories t, and any normalized function p1(xt) = p † 0(xt) [”
Stochastic Time Evolution, Information Geometry, and the Cramér-Rao Bound (2018, methodology): “[31] V.”
Irreversibility in Active Matter Systems: Fluctuation Theorem and Mutual Information (2018, methodology): “Therefore, the standard Onsager-Machlup path integral [81–83] cannot be applied directly to obtain p[x|x0].”