%0 Book Section %1 statphys23_1142 %A Gallavotti, G. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K chaos ergodicity invited nonequilibrium statphys23 thermodynamics topic-1 %T Boltzmann’s Heat Theorem and Fluctuation Theorem: from order to chaos %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1142 %X The Heat theorem reveals the second law of Thermodynamics as a manifestation of a general property of Hamiltonian Mechanics and of the Ergodic Hypothesis, valid for 1 as wel l as 1023 degrees of freedom systems, i.e. for simple as wel l as very complex systems, and reflecting the symplectic symmetry. In Nonequilibrium Thermodynamics it does not seem that there are theorems of comparable generality. Yet it is possible to find general, model independent, properties valid even for simple chaotic systems (i.e. the hyperbolic ones), which acquire special interest for larger systems: the Chaotic Hypothesis leads to the Fluctuation Theorem which provides general properties of very large fluctuations and reflects the time-reversal symmetry.

@incollection{statphys23_1142, abstract = {The Heat theorem reveals the second law of Thermodynamics as a manifestation of a general property of Hamiltonian Mechanics and of the Ergodic Hypothesis, valid for 1 as wel l as 1023 degrees of freedom systems, i.e. for simple as wel l as very complex systems, and reflecting the symplectic symmetry. In Nonequilibrium Thermodynamics it does not seem that there are theorems of comparable generality. Yet it is possible to find general, model independent, properties valid even for simple chaotic systems (i.e. the hyperbolic ones), which acquire special interest for larger systems: the Chaotic Hypothesis leads to the Fluctuation Theorem which provides general properties of very large fluctuations and reflects the time-reversal symmetry.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Gallavotti, G.}, biburl = {https://www.bibsonomy.org/bibtex/2a35d9309b3b82ab62e55a1f73c515f85/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {ac91daeb251772e2e458b80e09653e6e}, intrahash = {a35d9309b3b82ab62e55a1f73c515f85}, keywords = {chaos ergodicity invited nonequilibrium statphys23 thermodynamics topic-1}, month = {9-13 July}, timestamp = {2007-06-20T10:16:40.000+0200}, title = {Boltzmann’s Heat Theorem and Fluctuation Theorem: from order to chaos}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1142}, year = 2007 }