Comptes Rendus
Work and heat probability distributions in out-of-equilibrium systems
[Distributions du travail et de la chaleur dans des systèmes hors équilibre]
Comptes Rendus. Physique, Volume 8 (2007) no. 5-6, pp. 556-566.

Nous passons en revue et discutons les équations régissant la distribution du travail effectué sur un système manipulé hors d'équilibre, ainsi que celles qui régissent le flux d'entropie vers un réservoir dans un système hors d'équilibre. Nous exploitons ces équations dans l'étude de la transition de phase dans les chemins d'un modèle d'Ising champ moyen manipulé et de la fonction des grandes déviations pour le flux d'entropie dans le modèle d'exclusion asymétrique à probabilités de transition périodiques dans le temps.

We review and discuss the equations governing the distribution of work done on a system which is driven out of equilibrium by external manipulation, as well as those governing the entropy flow to a reservoir in a nonequilibrium system. We take advantage of these equations to investigate the path phase transition in a manipulated mean-field Ising model and the large-deviation function for the heat flow in the asymmetric exclusion process with periodically varying transition probabilities.

Reçu le :
Publié le :
DOI : 10.1016/j.crhy.2007.04.017
Keywords: Nonequilibrium processes, Work distribution, Entropy flow
Mot clés : Procès hors équilibre, Distribution du travail, Flux d'entropie
Alberto Imparato 1 ; Luca Peliti 2

1 Dipartimento di Fisica, INFN-Sezione di Torino, CNISM-Sezione di Torino, Politecnico di Torino, C.so Duca degli Abruzzi 24, 10129 Torino, Italy
2 Dipartimento di Scienze Fisiche, INFN-Sezione di Napoli, CNISM-Sezione di Napoli, Università “Federico II”, Complesso Monte S. Angelo, 80126 Napoli, Italy
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Alberto Imparato; Luca Peliti. Work and heat probability distributions in out-of-equilibrium systems. Comptes Rendus. Physique, Volume 8 (2007) no. 5-6, pp. 556-566. doi : 10.1016/j.crhy.2007.04.017. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2007.04.017/

[1] G.N. Bochkov; Y.E. Kuzovlev Nonlinear fluctuation–dissipation relations and stochastic models in nonequilibrium thermodynamics I. generalized fluctuation–dissipation theorem, Physica, Volume 106 (1981) no. 3, pp. 443-479

[2] G.N. Bochkov; Y.E. Kuzovlev Nonlinear fluctuation–dissipation relations and stochastic models in nonequilibrium thermodynamics II. Kinetic potential and variational principles for nonlinear irreversible processes, Physica, Volume 106 (1981) no. 3, pp. 480-520

[3] D.J. Evans; E.G.D. Cohen; G.P. Morriss Probability of second law violations in shearing steady states, Phys. Rev. Lett., Volume 71 (1993) no. 15, pp. 2401-2404

[4] D.J. Evans; D.J. Searles Steady states, invariant measures, and response theory, Phys. Rev. E, Volume 52 (1995) no. 6, pp. 5839-5848

[5] G. Gallavotti; E.G.D. Cohen Dynamical ensembles in stationary states, J. Stat. Phys., Volume 80 (1995) no. 5, pp. 931-970

[6] C. Jarzynski Nonequilibrium equality for free energy differences, Phys. Rev. Lett., Volume 78 (1997) no. 14, pp. 2690-2693

[7] J. Kurchan Fluctuation theorem for stochastic dynamics, J. Phys. A: Math. Gen., Volume 31 (1998), pp. 3719-3729

[8] J.L. Lebowitz; H. Spohn A Gallavotti–Cohen-type symmetry in the large deviation functional for stochastic dynamics, J. Stat. Phys., Volume 95 (1999) no. 1, pp. 333-365

[9] G.E. Crooks Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences, Phys. Rev. E, Volume 60 (1999) no. 3, pp. 2721-2726

[10] G.E. Crooks Path-ensemble averages in systems driven far from equilibrium, Phys. Rev. E, Volume 61 (2000) no. 3, pp. 2361-2366

[11] G. Hummer; A. Szabo Free energy reconstruction from nonequilibrium single-molecule pulling experiments, Proc. Nat. Acad. Sci., Volume 98 (2001) no. 7, pp. 3658-3661

[12] T. Hatano; S. Sasa Steady state thermodynamics of Langevin systems, Phys. Rev. Lett., Volume 86 (2001), p. 3463

[13] C. Maes On the origin and the use of fluctuation relations for the entropy, Sém. Poincaré, Volume 2 (2003), pp. 29-62

[14] P. Gaspard Time-reversed dynamical entropy and irreversibility in Markovian random processes, J. Stat. Phys., Volume 117 (2004), pp. 599-615

[15] P. Gaspard Brownian motion, dynamical randomness and irreversibility, New J. Phys., Volume 7 (2005), p. 77

[16] U. Seifert Entropy production along a stochastic trajectory and an integral fluctuation theorem, Phys. Rev. Lett., Volume 95 (2005) no. 4, p. 040602

[17] A. Imparato; L. Peliti Fluctuation relations for a driven Brownian particle, Phys. Rev. E, Volume 74 (2006) no. 2, p. 026106

[18] B. Cleuren; C.V. den Broeck; R. Kawai Fluctuation and dissipation of work in a joule experiment, Phys. Rev. Lett., Volume 96 (2006), p. 050601

[19] F. Ritort Work and heat fluctuations in two-state systems, J. Stat. Mech. (2004), p. P10016

[20] A. Imparato; L. Peliti Work-probability distribution in systems driven out of equilibrium, Phys. Rev. E, Volume 72 (2005) no. 4, p. 046114

[21] A. Imparato; L. Peliti Work probability distribution in single-molecule experiments, Europhys. Lett., Volume 69 (2005), pp. 643-650

[22] A. Imparato; L. Peliti Work distribution and path integrals in general mean-field systems, Europhys. Lett., Volume 70 (2005), pp. 740-746

[23] A. Greiner; W. Strittmatter; J. Hohnerkamp Numerical integration of stochastic differential equations, J. Stat. Phys., Volume 51 (1988), pp. 95-108

[24] R. Mannella Integration of stochastic differential equations on a computer, Int. J. Modern Phys. C, Volume 13 (2002), pp. 1177-1195

[25] A. Imparato; L. Peliti The distribution function of entropy flow in stochastic systems, J. Stat. Mech. (2007), p. L02001

[26] D. Ruelle Thermodynamic Formalism, Cambridge Univ. Press, Cambridge, 2004

[27] V. Lecomte; C. Appert-Rolland; F. van Wijland Chaotic properties of systems with Markov dynamics, Phys. Rev. Lett., Volume 95 (2005), p. 010601

[28] H. Oberhofer; C. Dellago; P.L. Geissler Biased sampling of nonequilibrium trajectories: Can fast switching simulations outperform conventional free energy calculation methods?, J. Phys. Chem. B, Volume 109 (2005), pp. 6902-6915

[29] G.M. Schütz; E. Domany Phase transitions in an exactly soluble one-dimensional exclusion process, J. Stat. Phys., Volume 72 (1993), pp. 277-296

[30] C. Enaud; B. Derrida Large deviation functional of the weakly asymmetric exclusion process, J. Stat. Phys., Volume 114 (2004), pp. 537-562

[31] H. Ge; D.Q. Jiang; M. Qian A simple discrete model of Brownian motors: Time-periodic Markov chains, J. Stat. Phys., Volume 123 (2006), pp. 831-859

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