The Gallavotti-Cohen fluctuation theorem for a nonchaotic model

Journal of Statistical Physics

Volumn 99, Issue 3-4, 2000, Pages 857-872

  Lepri, S ^a   Rondoni, L ^b   Benettin, G ^c  

^a UNIVERSITY OF FLORENCE   (Italy)

^b POLITECNICO DI TORINO   (Italy)

^c UNIVERSITY OF PADOVA   (Italy)

Author keywords

Chaotic hypothesis; Ehrenfest wind tree model; Gallavotti Cohen fluctuation theorem; Gaussian thermostat

Indexed keywords

EID: 0034335586     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1018695529398     Document Type: Article

References (25)

1. D. J. Evans, E. G. D. Cohen, and G. P. Morriss, Probability of second law violations in shearing steady flows, Phys. Rev. Lett. 71:2401 (1993).
2. G. Gallavotti and E. G. D. Cohen, Dynamical ensembles in nonequilibrium statistical mechanics, Phys. Rev. Lett. 74:2694 (1995); G. Gallavotti and E. G. D. Cohen, Dynamical ensembles in stationary states, J. Stat. Phys. 80:931 (1995).
3. G. Gallavotti and E. G. D. Cohen, Dynamical ensembles in nonequilibrium statistical mechanics, Phys. Rev. Lett. 74:2694 (1995); G. Gallavotti and E. G. D. Cohen, Dynamical ensembles in stationary states, J. Stat. Phys. 80:931 (1995).
4. G. Gallavotti, Extension of Onsager's reciprocity to large fields and the chaotic hypothesis, Phys. Rev. Lett. 78:4334 (1996).
5. G. Gallavotti, Chaotic dynamics, fluctuations, nonequilibrium ensembles, Chaos 8(2):384 (1998).
6. F. Bonetto, G. Gallavotti, and P. Garrido, Chaotic principle: an experimental test, Physica D 105:226 (1997).
7. S. Ciliberto and C. Laroche, An experimental test of the Gallavotti-Cohen fluctuation theorem, Journal de Physique IV 8(Pr6):215 (1998).
8. S. Lepri, R. Livi, and A. Politi, Energy transport in anharmonic lattices close to and far from equilibrium, Physica D 119:140 (1998).
9. F. Bonetto, N. Chernov, and J. L. Lebowitz, (Global and Local) Fluctuations of Phase Space Contraction in Deterministic Stationary Non-equilibrium, Chaos 8(3):823 (1998).
10. L. Rondoni and E. Segre, Fluctuations in 2D reversibly-damped turbulence, Nonlinearity 12:1471 (1999).
11. G. Gallavotti, Dynamical ensembles equivalence in fluid mechanics, Physica D 105:163 (1997).
12. F. Bonetto and G. Gallavotti, Reversibility, coarse graining and the chaoticity principle, Comm. Math. Phys. 189:263 (1997).
13. C. Maes, The fluctuation theorem as a Gibbs property, archived in mp-arc (1998).
14. J. L. Lebowitz and H. Spohn, A Gallavotti-Cohen type symmetry in the large deviation functional for Stochastic Dynamics, J. Stat. Phys. 95:333 (1999).
15. J. L. Lebowitz, Boltzmann's entropy and time's arrow, Physics Today, September 1993, 38 (1993).
16. J. Bricmont, Science of chaos or chaos in science?, Proc. New York Academy of Science (Appendix 1 in particular) (1997).
17. E. G. D. Cohen and L. Rondoni, Note on phase space contraction and entropy production in thermostatted hamiltonian systems, Chaos 8(2):357 (1998).
18. G. Benettin, P. Hjorth, and P. Sempio, Exponentially long equilibrium times in a one dimensional collisional model of classical gas (1998), preprint.
19. C. P. Dettman, E. G. D. Cohen, and H. van Beijeren, Microscopic chaos from Brownian motion?, xxx.lanl.gov/chao-dyn/9904041 (1999).
20. D. J. Searles and D. J. Evans, Equilibrium microstates which generate second law violating steady states, Phys. Rev. E 50:1645 (1994).
21. E. G. D. Cohen and G. Gallavotti, Note on two theorems in nonequilibrium statistical mechanics, xxx.lanl.gov/cond-mat/9903418 (1999).
22. P. Gaspard et al., Nature 394:865 (1998).
23. G. Gutkin, Billiards in polygons: Survey of recent results, J. Stat. Phys. 83:7 (1996).
24. R. Artuso, Correlations and spectra of triangular billiards, Physica D 109:1 (1997).
25. J. Lloyd, M. Niemeyer, L. Rondoni, and G. P. Morriss, The nonequilibrium Lorentz gas, Chaos 5(3):536 (1995).