Orbital measures in non-equilibrium statistical mechanics: The Onsager relations

Nonlinearity

Volumn 11, Issue 5, 1998, Pages 1395-1406

  Rondoni, L ^a   Cohen, E G D ^b  

^a POLITECNICO DI TORINO   (Italy)

^b ROCKEFELLER UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009217105     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/11/5/013     Document Type: Article

References (28)

1. Gallavotti G 1996 Chaotic hypothesis: Onsager reciprocity and fluctuation dissipation theorem J. Stat. Phys. 84 899
2. Gallavotti G 1996 Extension of Onsager's reciprocity to large fields and the chaotic hypothesis Phys. Rev. Lett. 78 4334
3. Gallavotti G and Ruelle D 1997 SRB states and nonequilibrium statistical mechanics Commun. Math. Phys. 190 279
4. Gallavotti G and Cohen EGD 1995 Dynamical ensembles in nonequilibrium statistical mechanics Phys. Rev. Lett. 74 2694 Gallavotti G and Cohen EGD 1995 Dynamical ensembles in stationary states J. Stat. Phys. 80 931
5. Gallavotti G and Cohen EGD 1995 Dynamical ensembles in nonequilibrium statistical mechanics Phys. Rev. Lett. 74 2694 Gallavotti G and Cohen EGD 1995 Dynamical ensembles in stationary states J. Stat. Phys. 80 931
6. Sinai Ya G 1972 Gibbs measures in ergodic theory Russ. Math. Surv. 27 21 Bowen R 1975 Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms (Lecture Notes in Mathematics 470) (Berlin: Springer) Ruelle D 1976 A measure associated with axiom A attractors Am. J. Math. 98 619
7. Sinai Ya G 1972 Gibbs measures in ergodic theory Russ. Math. Surv. 27 21 Bowen R 1975 Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms (Lecture Notes in Mathematics 470) (Berlin: Springer) Ruelle D 1976 A measure associated with axiom A attractors Am. J. Math. 98 619
8. Sinai Ya G 1972 Gibbs measures in ergodic theory Russ. Math. Surv. 27 21 Bowen R 1975 Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms (Lecture Notes in Mathematics 470) (Berlin: Springer) Ruelle D 1976 A measure associated with axiom A attractors Am. J. Math. 98 619
9. Evans D J, Cohen EGD and Morriss G P 1993 Probability of second law violations in shearing steady flows Phys. Rev. Lett. 71 2401
10. Bonetto F, Gallavotti G and Garrido P 1996 Chaotic principle: an experimental test Physica D 105 226
11. Lepri S, Livi R and Politi A 1997 Heat transport in anharmonic chains Phys. Rev. Lett. 78 1896
12. Ruelle D 1978 Thermodynamic Formalism (Reading, MA: Addison-Wesley)
13. Parry W 1986 Synchronisation of canonical measures for hyperbolic attractors Commun. Math. Phys. 106 267
14. Artuso R, Aurell E and Cvitanović P 1990 Recycling of strange sets: I. Cycle expansions Nonlinearity 3 325 Artuso R, Aurell E and Cvitanović P 1990 Recycling of strange sets: II. Applications Nonlinearity 3 361
15. Artuso R, Aurell E and Cvitanović P 1990 Recycling of strange sets: I. Cycle expansions Nonlinearity 3 325 Artuso R, Aurell E and Cvitanović P 1990 Recycling of strange sets: II. Applications Nonlinearity 3 361
16. Rondoni L and Morriss G P 1997 Applications of periodic orbit theory to N-particle systems J. Stat. Phys. 86 991
17. Ruelle D 1996 Positivity of entropy production in nonequilibrium statistical mechanics J. Stat. Phys. 85 1
18. Cohen EGD and Rondoni L 1998 Note on phase space contraction and entropy production in thermostatted Hamiltonian systems Chaos to appear
19. Cvitanović P, Gaspard P and Schreiber T 1992 Investigation of the Lorentz gas in terms of periodic orbits Chaos 2 85
20. Vance W N 1992 Unstable periodic orbits and transport properties of nonequilibrium steady states Phys. Rev. Lett. 69 1356
21. Morriss G P and Rondoni L 1994 Periodic orbit expansions for the Lorentz gas J. Stat. Phys. 75 553
22. Lloyd J, Niemeyer M, Rondoni L and Morriss G P 1995 The nonequilibrium Lorentz gas Chaos 5 536
23. Dettmann C P and Morriss G P 1997 Stability ordering of cycle expansions Phys. Rev. Lett. 78 4201
24. Hoover W 1986 Molecular Dynamics (Berlin: Springer)
25. Evans D J and Morriss G P 1990 Statistical Mechanics of Nonequilibrium Liquids (London: Academic)
26. Dettmann C P and Cvitanović P 1997 Cycle expansions for intermittent diffusion Phys. Rev. E 56 6687
27. Sano MM 1994 J. Phys. A: Math. Gen. 27 4791
28. Cvitanović P and Mainieri R 1997 Classical and quantum chaos: a cyclist treatise, archived in www.nbi.dk/~ronnie/ChaosBook/