FM: 06-08 (mp_arc ; cond-mat/) P>Author : G. Gallavotti

Title: Entropy, Nonequilibrium, Chaos and Infinitesimals

Abstract: A survey of the approach to Statistical Mechanics following Boltzmann's theory of ensembles and ergodic hypothesis leading to chaoticity as a unifying principle of equilibrium and nonequilibrium Statistical Mechanics. (Source of the talk at the ESI Symposium on "Boltzmann's legacy", Vienna, 6-9 June, 2006.

Keywords: Chaos, Ergodic Hypothesis, Poincare' Recurrence, SRB distribution, Hyperbolic Systems, Time reversal, Fluctuation theorem, Chaotic hypothesis

G. Gallavotti, INFN, Universit\`a di Roma "La Sapienza", P. A. Moro 2, 00185, Roma, Italy