[Conditions thermodynamique et de réseau du théorème de fluctuations pour un seul courant macroscopique]
Nous analysons les différentes situations où un théorème de fluctuations peut être démontré pour un seul courant macroscopique d'un système dans un état stationnaire de non-équilibre soutenant plusieurs processus de transport. Nous exprimons les conditions sous lesquelles un tel théorème de fluctuations tiendra en termes des cycles et des processus de transport sur le réseau. Dans ce cas, un courant macroscopique donné obéit à un théorème de fluctuations sans implication des autres processus de transport.
We analyse the different situations where a fluctuation theorem can be proved for a single macroscopic current of a system in a nonequilibrium steady state sustaining several transport processes. We express the conditions under which such a fluctuation theorem will hold in terms of the cycles and transport processes of the network. In this case, a given macroscopic current obeys a fluctuation theorem regardless of the other transport processes.
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Mot clés : État stationnaire de non-équilibre, Production d'entropie, Fluctuations de courant, Forces thermodynamiques, Théorème de fluctuations
David Andrieux 1 ; Pierre Gaspard 1
@article{CRPHYS_2007__8_5-6_579_0,
author = {David Andrieux and Pierre Gaspard},
title = {Network and thermodynamic conditions for a single macroscopic current fluctuation theorem},
journal = {Comptes Rendus. Physique},
pages = {579--590},
publisher = {Elsevier},
volume = {8},
number = {5-6},
year = {2007},
doi = {10.1016/j.crhy.2007.04.016},
language = {en},
}
TY - JOUR AU - David Andrieux AU - Pierre Gaspard TI - Network and thermodynamic conditions for a single macroscopic current fluctuation theorem JO - Comptes Rendus. Physique PY - 2007 SP - 579 EP - 590 VL - 8 IS - 5-6 PB - Elsevier DO - 10.1016/j.crhy.2007.04.016 LA - en ID - CRPHYS_2007__8_5-6_579_0 ER -
David Andrieux; Pierre Gaspard. Network and thermodynamic conditions for a single macroscopic current fluctuation theorem. Comptes Rendus. Physique, Volume 8 (2007) no. 5-6, pp. 579-590. doi : 10.1016/j.crhy.2007.04.016. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2007.04.016/
[1] Introduction to Thermodynamics of Irreversible Processes, Wiley, New York, 1967
[2] Proc. Natl. Acad. Sci. (USA), 68 (1971), p. 2102
[3] J. Stat. Phys., 6 (1972), p. 195
[4] Physica A, 89 (1977), p. 326
[5] Self-Organization in Nonequilibrium Systems, Wiley, New York, 1977
[6] Z. Phys. B—Condensed Matter, 56 (1984), p. 165
[7] Rev. Mod. Phys., 48 (1976), p. 571
[8] Theoretical approaches to the kinetics of adsorption, desorption and reactions at surfaces (M. Borowko, ed.), Computational Methods in Surface and Colloid Science, Dekker, New York, 2000, p. 439
[9] Affinity, Stanford Univ. Press, Menlo Park, CA, 1936
[10] Chaos, Scattering and Statistical Mechanics, Cambridge Univ. Press, Cambridge, UK, 1998
[11] Phys. Rev. Lett., 78 (1997), p. 2690
[12] J. Stat. Mech. (2004), p. P09005
[13] Mathematical Theory of Nonequilibrium Steady States, Springer, Berlin, 2004
[14] Phys. Rev. Lett., 71 (1993), p. 2401
[15] Phys. Rev. E, 50 (1994), p. 1645
[16] Phys. Rev. Lett., 74 (1995), p. 2694
[17] Phys. Rev. Lett., 77 (1996), p. 4334
[18] J. Stat. Phys., 95 (1999), p. 393
[19] J. Phys. A: Math. Gen., 31 (1998), p. 3719
[20] Phys. Rev. E, 60 (1999), p. 2721
[21] J. Stat. Phys., 95 (1999), p. 333
[22] J. Stat. Phys., 95 (1999), p. 367
[23] J. Stat. Phys., 110 (2003), p. 269
[24] J. Chem. Phys., 120 (2004), p. 8898
[25] Phys. Rev. Lett., 95 (2005), p. 040602
[26] Phys. Rev. B, 43 (1991), p. 1146
[27] Nature, 386 (1997), p. 299
[28] J. Stat. Mech.: Th. Exp. (2006), p. P01011
[29] Phys. Rev. E, 74 (2006), p. 011906
[30] J. Chem. Phys., 121 (2004), p. 6167
[31] J. Stat. Phys., 127 (2007), p. 107
[32] J. Stat. Mech. (2007), p. P02006
[33] Sci. Sinica (Ser. A), 27 (1984), p. 470
[34] J. Theor. Biol., 10 (1966), p. 399
[35] J. Theor. Biol., 10 (1966), p. 442
[36] Thermodynamics for Chemists and Biologists, Addison–Wesley, Reading, MA, 1968
[37] | arXiv
[38] Phys. Rev. E, 59 (1999), p. 6448
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