Steady-state thermodynamics of Langevin systems.

By T. Hatano, S. Sasa. Physical Review Letters, 2000

643 citations recorded by the source corpus.

We study Langevin dynamics describing nonequilibirum steady states. Employing the phenomenological framework of steady-state thermodynamics constructed by Oono and Paniconi [Prog. Theor. Phys. Suppl. 130, 29 (1998)], we find that the extended form of the second law which they proposed holds for transitions between steady states and that the Shannon entropy difference is related to the excess heat produced in an infinitely slow operation. A generalized version of the Jarzynski work relation plays an important role in our theory.

Subfields: Cognitive Neuroscience, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/645f680451cfb7741c71f8c218e7ebe788412535

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Citations in the corpus

Nonequilibrium fluctuations in small systems: From physics to biology (2007, background): “By adding (90) and (92) we obtain the total dissipation, S = Sp + B = 1 T ( ∆( γ2v2 2κ ) − γ κ ∫ t 0 dsv̇(s)F (s) ) = (93) = −γ κ ∫ t 0 dsv̇(s)(F (s) − γv(s)) (94) The quantity S (called Y by Hatano and Sasa) satisfies the nonequilibrium equality (16) and the FT (27).”
Nonequilibrium physics in biology (2019, background): “It also allows for a generalization of thermodynamics (Feng and Wang, 2011; Ge and Qian, 2010; Seifert, 2005; Van and Esposito, 2010) and of the fluctuation-dissipation relation (Feng and Wang, 2011; Hatano and Sasa, 2001; Seifert, 2008).”
Stochastic thermodynamics, fluctuation theorems and molecular machines (2012, background): “With the choice g ≡ 1, this FT leads to the most general IFT 〈e−R〉 = 1 from which all known IFT-like relations follow as shown in Sect.”
An update on the nonequilibrium linear response (2012, background): “In fact, that potential gets a prominent place in various works on nonequilibrium linear response that follow the Hatano–Sasa formalism [18], such as in the more recent works [19, 20].”
Fluctuation-dissipation: Response theory in statistical physics (2008, positive): “The nonequilibrium steady-state equality of Hatano and Sasa [220] has been verified by Trepagnier et al. [258].”
Fluctuation Relations for Diffusion Processes (2007, methodology): “Hatano-Sasa equality [43] In the current-reversal setup of Sect.”
Stochastic resetting and applications (2019, background): “They showed how the Hatano–Sasa integral fluctuation theorem [158] which pertains to nonequilibrium steady states is also valid for systems with resetting.”
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”