Fluctuation patterns and conditional reversibility in nonequilibrium systems

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1. [1] R. Bowen and D. Ruelle, The ergodic theory of axiom A flows, Inventiones Mathematicae, Vol. 29, 1975, pp. 181-205. Zbl0311.58010MR380889
2. [2] G. Gallavotti, Reversible Anosov maps and large deviations, Mathematical Physics Electronic Journal, MPEJ, (http://mpej.unige.ch), Vol. 1, 1995, 12 pp. Zbl0831.58040MR1331983
3. [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]. Zbl1081.82580MR1349772
4. [4] G. Gentile, Large deviation rule for Anosov flows, IHES preprint, Forum Mathematicum, Vol. 10, 1998, pp. 89-118. Zbl0894.58034MR1490140
5. [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. Zbl1063.82533MR1419275
6. [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. Zbl0909.60091MR1489572
7. [7] D. Ruelle, Positivity of entropy production in nonequilibrium statistical mechanics, Journal of Statistical Physics, Vol. 85, 1996, 1996.3, pp. 1-25. Zbl0973.37014MR1413234
8. [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, PhysicaD. Vol. 105, 1977, pp. 163-184. Zbl1037.76508MR1421515
9. [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. Zbl0966.82507
10. [10] F. Bonetto, G. Gallavotti and P. Garrido, Chaotic principle: an experimental test, mp_arc@math.utexas.edu, # 96-154, PhysicaD.Vol. 105, 1997, pp. 226-252. Zbl1038.82050MR1456948
11. [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. Zbl0246.28008MR399421
12. [12] D. Ruelle, Positivity of entropy production in nonequilibrium statistical mechanics, Journal of Statistical Physics, Vol. 85, 1996, 1996.1, pp. 1-25. Zbl0973.37014MR1413234
13. [13] D. Ruelle, Elements of differentiable dynamics and bifurcation theory, Academic Press, 1989. Zbl0684.58001MR982930
14. [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. Zbl1044.82548
15. [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. Zbl0780.58050MR1224092
16. [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. [17] J.L. Lebowitz, Microscopic reversibility, To appear in Enciclopedia del Novecento, Enciclopedia Italiana, Roma, 1997, english preprint: Rutgers University, 1997. 
18. [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). JFM16.1064.06
19. [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. [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).