Boltzmann conjecture, meta-equilibrium entropy, second law, chaos and irreversibility for many body systems

dc.creatorCipriani, Piero
dc.date2007-02-01
dc.date.accessioned2026-07-07T08:02:20Z
dc.date.available2026-07-07T08:02:20Z
dc.descriptionA heuristic generalization of the Boltzmann-Gibbs microcanonical entropy is proposed, able to describe meta-equilibrium features and evolution of macroscopic systems. Despite its simple-minded derivation, such a function of "collective parameters" characterizing the microscopic state of N-body systems, yields, at one time, a statistical interpretation of dynamic evolution, and dynamic insights on the basic assumption of statistical mechanics. Its natural (implicit) time dependence entails} a "Second Law-like" behaviour and allows moreover, to perform an elementary test of the Loschmidt reversibility objection, pointing out the crucial relevance of Chaos in setting up effective (statistico-mechanical and dynamical) "arrows of time". Several concrete (analytical and numerical) applications illustrate its properties.
dc.description9 pages; 9 figures (4 with 5 insets); Submitted (2006) to Europhysics Letters and rejected
dc.identifierhttps://arxiv.org/abs/cond-mat/0702017
dc.identifierhttp://arxiv.org/abs/cond-mat/0702017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129202
dc.subjectStatistical Mechanics
dc.subjectAstrophysics
dc.subjectClassical Physics
dc.titleBoltzmann conjecture, meta-equilibrium entropy, second law, chaos and irreversibility for many body systems
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