DOI: 10.1007/bf02175553. Positivity of entropy production in nonequilibrium statistical mechanics

Positivity of entropy production in nonequilibrium statistical mechanics

10.1007/bf02175553

Crossref journal-article

Springer Science and Business Media LLC

Journal of Statistical Physics (297)

Bibliography

Ruelle, D. (1996). Positivity of entropy production in nonequilibrium statistical mechanics. Journal of Statistical Physics, 85(1â2), 1â23.

Authors 1

David Ruelle (first)

References 27 Referenced 189

R. Artuso, E. Aurell, and P. Cvitanović, Recycling of strange sets: I. Cycle expansions, II. Applications,Nonlinearity 3:325–359, 361–386 (1990). (10.1088/0951-7715/3/2/005) / Nonlinearity by R. Artuso (1990)
P. Billingsley,Ergodic Theory and Information (Wiley, New York, 1965). / Ergodic Theory and Information by P. Billingsley (1965)
N. Bourbaki,Eléments de mathématiques. VI. Intégration (Hermann, Paris, 1959), Chapter 6. / Eléments de mathématiques. VI. Intégration by N. Bourbaki (1959)
R. Bowen and D. Ruelle, The ergodic theory of Axiom A flow,Invent. Math. 29:181–202 (1975). (10.1007/BF01389848) / Invent. Math. by R. Bowen (1975)
N. I. Chernov, G. L. Eyink, J. L. Lebowitz, and Ya. G. Sinai, Steady-state electrical conduction in the periodic Lorentz gas,Commun. Math. Phys. 154:569–601 (1993). (10.1007/BF02102109) / Commun. Math. Phys. by N. I. Chernov (1993)
N. I. Chernov, and J. L. Lebowitz, Stationary shear flow in boundary driven Hamiltonian systems,Phys. Rev. Lett. 75:2831–2834 (1995). (10.1103/PhysRevLett.75.2831) / Phys. Rev. Lett. by N. I. Chernov (1995)
N. I. Chernov and J. L. Lebowitz, In preparation.
P. Cvitanović, J.-P. Eckmann, and P. Gaspard, Transport properties of the Lorentz gas in terms of periodic orbits,Chaos Solitons and Fractals 4 (1995). (10.1016/0960-0779(95)80018-C)
J. R. Dorfman, From molecular chaos to dynamical chaos, Lecture notes, Maryland (1995).
J. R. Dorfman and P. Gaspard, Chaotic scattering theory of transport and reaction rate coefficients,Phys. Rev. E 51:28 (1995). (10.1103/PhysRevE.51.28) / Phys. Rev. E by J. R. Dorfman (1995)
J.-P. Eckmann and D. Ruelle, Ergodic theory of strange attractors,Rev. Mod. Phys. 57:617–656 (1985). (10.1103/RevModPhys.57.617) / Rev. Mod. Phys. by J.-P. Eckmann (1985)
D. J. Evans, E. G. D. Cohen, and G. P. Morriss, Probability of second law violations in shearing steady flows,Phys. Rev. lett. 71:2401–2404 (1993). (10.1103/PhysRevLett.71.2401) / Phys. Rev. lett. by D. J. Evans (1993)
G. Gallavotti, Reversible Anosov diffeomorphisms and large deviations,Math. Phys. Electronic J. 1:1–12 (1995). / Math. Phys. Electronic J. by G. Gallavotti (1995)
G. Gallavotti, Chaotic hypothesis: Onsager reciprocity and fluctuation-dissipation theorems, preprint.
G. Gallavotti and E. G. D. Cohen, Dynamical ensembles in nonequilibrium statistical mechanics,Phys. Rev. Lett. 74:2694–2697 (1995). (10.1103/PhysRevLett.74.2694) / Phys. Rev. Lett. by G. Gallavotti (1995)
G. Gallavotti and E. G. D. Cohen, Dynamical ensembles in stationary states,J. Stat. Phys. 80:931–970 (1995). (10.1007/BF02179860) / J. Stat. Phys. by G. Gallavotti (1995)
P. Gaspard and G. Nicolis, Transport properties, Lyapunov exponents, and entropy per unit time,Phys. Rev. Lett. 65:1693–1696 (1990). (10.1103/PhysRevLett.65.1693) / Phys. Rev. Lett. by P. Gaspard (1990)
W. G. Hoover,Molecular Dynamics (Springer, Berlin; 1986). / Molecular Dynamics by W. G. Hoover (1986)
H. Kantz and P. Grassberger, Repellers, semi-attractors, and long-lived chaotic transients,Physica 17D:75–86 (1985). / Physica by H. Kantz (1985)
J. L. Lebowitz, Boltzmann's entropy and time's arrow,Phys. Today 46(g):32–38 (1993). (10.1063/1.881363) / Phys. Today by J. L. Lebowitz (1993)
F. Ledrappier, Propriétés ergodiques des mesures de Sinai,Publ. Math. IHES 59:163–188 (1984). (10.1007/BF02698772) / Publ. Math. IHES by F. Ledrappier (1984)
F. Ledrappier and L. S. Young, The metric entropy of diffeomorphisms: I. Characterization of measures satisfying Pesin's formula, II. Relations between entropy, exponents and dimension,Ann. Math. 122:509–539, 540–574 (1985). (10.2307/1971328) / Ann. Math. by F. Ledrappier (1985)
D. Ruelle, A measure associated with Axiom A attractors,Am. J. Math. 98:619–654 (1976). (10.2307/2373810) / Am. J. Math. by D. Ruelle (1976)
D. Ruelle, Sensitive dependence on initial condition and turbulent behavior of dynamical systems,Ann. N. Y. Acad. Sci. 316:408–416 (1978). (10.1111/j.1749-6632.1979.tb29485.x) / Ann. N. Y. Acad. Sci. by D. Ruelle (1978)
D. Ruelle, An inequality for the entropy of differentiable maps,Bol. Soc. Bras. Mat. 9:83–87 (1978). (10.1007/BF02584795) / Bol. Soc. Bras. Mat. by D. Ruelle (1978)
Ya. G. Sinai, Gibbs measures in ergodic theory,Usp. Mat. Nauk 27(4):21–64 (1972) [Russ. Math. Surv. 27(4):21–69 (1972)]. / Usp. Mat. Nauk by Ya. G. Sinai (1972)
S. Smale, Differentiable dynamical systemsBull. Am. Math. Soc. 73:747–817 (1967). (10.1090/S0002-9904-1967-11798-1) / Bull. Am. Math. Soc. by S. Smale (1967)

Dates

Type	When
Created	19 years, 11 months ago (Sept. 20, 2005, 10:47 p.m.)
Deposited	6 years, 3 months ago (May 14, 2019, 12:51 p.m.)
Indexed	2 weeks, 3 days ago (Aug. 6, 2025, 8:54 a.m.)
Issued	28 years, 10 months ago (Oct. 1, 1996)
Published	28 years, 10 months ago (Oct. 1, 1996)
Published Print	28 years, 10 months ago (Oct. 1, 1996)

Funders 0

None

BibTeX

@article{Ruelle_1996, title={Positivity of entropy production in nonequilibrium statistical mechanics}, volume={85}, ISSN={1572-9613}, url={http://dx.doi.org/10.1007/bf02175553}, DOI={10.1007/bf02175553}, number={1–2}, journal={Journal of Statistical Physics}, publisher={Springer Science and Business Media LLC}, author={Ruelle, David}, year={1996}, month=oct, pages={1–23} }

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