Fluctuation patterns and conditional reversibility in nonequilibrium systems
Annales de l'I.H.P. Physique théorique, Volume 70 (1999) no. 4, p. 429-443
@article{AIHPA_1999__70_4_429_0,
     author = {Gallavotti, Giovanni M.},
     title = {Fluctuation patterns and conditional reversibility in nonequilibrium systems},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     publisher = {Gauthier-Villars},
     volume = {70},
     number = {4},
     year = {1999},
     pages = {429-443},
     zbl = {0947.34032},
     mrnumber = {1686428},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1999__70_4_429_0}
}
Gallavotti, Giovanni. Fluctuation patterns and conditional reversibility in nonequilibrium systems. Annales de l'I.H.P. Physique théorique, Volume 70 (1999) no. 4, pp. 429-443. http://www.numdam.org/item/AIHPA_1999__70_4_429_0/

[1] R. Bowen and D. Ruelle, The ergodic theory of axiom A flows, Inventiones Mathematicae, Vol. 29, 1975, pp. 181-205. | MR 380889 | Zbl 0311.58010

[2] G. Gallavotti, Reversible Anosov maps and large deviations, Mathematical Physics Electronic Journal, MPEJ, (http:// mpej.unige.ch), Vol. 1, 1995, 12 pp. | MR 1331983

[3] G. Gallavotti and E.G.D. Cohen, Dynamical ensembles in nonequilibrium statistical mechanics, Physical Review Letters, Vol. 74, 1995, pp.2694-2697; Dynamical ensembles in stationary states, Journal of Statistical Physics, Vol. 80, 1995, pp. 931-970. See also: [2]. | MR 1349772 | Zbl 01553991

[4] G. Gentile, Large deviation rule for Anosov flows, IHES preprint, Forum Mathematicum, Vol. 10, 1998, pp. 89-118. | MR 1490140 | Zbl 0894.58034

[5] G. Gallavotti, Extension of Onsager's reciprocity to large fields and the chaotic hypothesis, Physical Review Letters, Vol. 78, 1996, pp. 4334-4337. See also: Chaotic hypothesis: Onsager reciprocity and fluctuation-dissipation theorem, Journal of Statistical Physics, 84, 899-926, 1996. And: Chaotic principle: some applications to developed turbulence, Journal of Statistical Physics, 86, 907-934, 1997. | MR 1419275 | Zbl 1063.82533

[6] G. Gallavotti and D. Ruelle, SRB states and nonequilibrium statistical mechanics close to equilibrium, mp_arc@math. utexas. edu, #96-645, Communications in Mathematical Physics, Vol. 190, 1997, pp. 279-285. | MR 1489572 | Zbl 0909.60091

[7] D. Ruelle, Positivity of entropy production in nonequilibrium statistical mechanics, Journal of Statistical Physics, Vol. 85, 1996, 1996.3, pp. 1-25. | MR 1413234 | Zbl 0973.37014

[8] G. Gallavotti, Equivalence of dynamical ensembles and Navier-Stokes equations, Physics Letters, Vol. 223, 1996, pp. 91-95. And Dynamical ensembles equivalence in statistical mechanics, in mp_arc@ math. utexas. edu #96-182, chao-dyn@xyz.lanl.gov #9605006, Physica D. Vol. 105, 1977, pp. 163-184. | MR 1421515 | Zbl 1037.76508

[9] D.J. Evans, E.G.D. Cohen and G.P. Morriss, Probability of second law violations in shearing steady flows, Physical Review Letters, Vol. 71, 1993, pp. 2401-2404. | Zbl 0966.82507

[10] F. Bonetto, G. Gallavotti and P. Garrido, Chaotic principle: an experimental test, mp_arc @math. utexas. edu, # 96-154, Physica D.Vol. 105, 1997, pp. 226-252. | MR 1456948 | Zbl 1038.82050

[11] Y.G. Sinai, Gibbs measures in ergodic theory, Russian Mathematical Surveys, Vol. 27, 1972, pp. 21-69. Also: Introduction to ergodic theory, Princeton U. Press, Princeton, 1977. | MR 399421

[12] D. Ruelle, Positivity of entropy production in nonequilibrium statistical mechanics, Journal of Statistical Physics, Vol. 85, 1996, 1996.1, pp. 1-25. | MR 1413234 | Zbl 0973.37014

[13] D. Ruelle, Elements of differentiable dynamics and bifurcation theory, Academic Press, 1989. | MR 982930 | Zbl 0684.58001

[14] G. Gallavotti, New methods in nonequilibrium gases and fluids, in mp_arc@ math. utexas.edu #96-533, and chao-dyn #9610018, in print in open systems. | Zbl 1044.82548

[15] N.I. Chernov, G.L. Eyink, J.L. Lebowitz and Y. Sinai, Steady state electric conductivity in the periodic Lorentz gas, Communications in Mathematical Physics, Vol. 154, 1993, pp. 569-601. | MR 1224092 | Zbl 0780.58050

[16] W. Taylor, The kinetic theory of the dissipation of energy, reprinted (in english) in: S. Brush, Kinetic theory, Vol. 2, 1966, pp. 176, Pergamon Press.

[17] J.L. Lebowitz, Microscopic reversibility, To appear in Enciclopedia del Novecento, Enciclopedia Italiana, Roma, 1997, english preprint: Rutgers University, 1997.

[18] L. Boltzmann, Über die eigenshaften monzyklischer und anderer damit verwandter Systeme, in "Wissenshafltliche Abhandlungen", ed. F.P. Hasenhörl, vol. III, Chelsea, New York, 1968, (reprint of 1884 original). | JFM 16.1064.06

[19] G. Gallavotti, Trattatello di Meccanica Statistica, Quaderni CNR-GNFM, Vol. 50, 1995, pp. 1-350, Firenze. Free copies can be obtained by requesting them to CNR-GNFM, via S. Marta 13/a, 50139 Firenze, Italy, or by fax at CNR-GNFM -39-55-475915. English version in print, Springer-Verlag, 1999.

[20] L. Boltzmann, Entgegnung auf die wärmetheoretischen Betrachtungen des Hrn. E. Zermelo, engl. transl.: S. Brush, "Kinetic Theory", Vol. 2, 1966, pp. 218, Pergamon Press. And: Zu Hrn. Zermelo's Abhandlung "Ueber die mechanische Erklärung irreversibler Vorgänge", engl. trans. in S. Brush, "Kinetic Theory", Vol. 2, pp. 238, (reprints of 1896 and 1897 originals).