Fluctuation relations and positivity of the entropy production in irreversible dynamical systems

Nonlinearity

Volumn 17, Issue 4, 2004, Pages 1305-1316

  Maes, Christian ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3142699810     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/17/4/008     Document Type: Article

References (17)

1. Gallavotti G 1998 Breakdown and regeneration of time reversal symmetry in nonequllibrium statistical mechanics Physica D 112 250-7
2. Gallavotti O and Bonetto F 1997 Reversibility, coarse graining and the chaotlcity principle Commun. Math. Phys. 189 263-76
3. Gallavotti G and Cohen E G D 1995 Dynamical ensembles in nonequilibrium statistical mechanics Phys. Rev. Lett. 74 2694-7 Gallavotti G and Cohen E G D 1995 Dynamical ensembles in stationary states J. Stat. Phys. 80 931-70
4. Gallavotti G and Cohen E G D 1995 Dynamical ensembles in nonequilibrium statistical mechanics Phys. Rev. Lett. 74 2694-7 Gallavotti G and Cohen E G D 1995 Dynamical ensembles in stationary states J. Stat. Phys. 80 931-70
5. Goldstein S and Lebowitz J L 2004 On the (Boltzmann) entropy of nonequilibrium systems Physica D in press
6. Jarzynski C 1997 Nonequilibrium equality for free energy differences Phys. Rev. Lett. 78 2690-3
7. Jaynes E T 1965 Gibbs vs Boltzmann entropies Am. J. Phys. 33 391-8 Jaynes E T 1983 Papers on Probability, Statistics and Statistical Physics ed RD Rosencrantz (Dordrecht: Reidel)
8. Jaynes E T 1965 Gibbs vs Boltzmann entropies Am. J. Phys. 33 391-8 Jaynes E T 1983 Papers on Probability, Statistics and Statistical Physics ed RD Rosencrantz (Dordrecht: Reidel)
9. Lebowitz J L and Spohn H 1999 A Gallavotti-Cohen type symmetry in the large deviation functional for stochastic dynamics J. Stat. Phys. 95 333-65
10. Macs C 1999 Fluctuation theorem as a Gibbs property J. Stat. Phys. 95 367-92
11. Maes C and Netočný K 2003 Time-reversal and entropy J. Stat. Phys. 110 269-310
12. Maes C, Netočný K and Verschuere M 2003 Heat conduction networks J. Stat. Phys. 111 1219-44
13. Maes C, Redig F and Van Moffaert A 2000 On the definition of entropy production via examples J. Math. Phys. 41 1528-54
14. Maes C and Verbitskiy E 2003 Large deviations and a fluctuation symmetry for chaotic homeomorphisms Commun. Math. Phys. 233 137-51
15. Nicolis G, Martinez S and Tirapegui E 1991 Finite coarse-graining and Chapman-Kolmogorov equation in conservative dynamical systems Chaos, Solitons Fractals 125-37
16. Rey-Bellet L and Thomas L E 2002 Fluctuations of the entropy production in anharmonic chains Ann. Inst. H Poincaré 3 483-502
17. Ruelle D 1999 Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics J. Stat. Phys. 95 393-468