Initial growth of Boltzmann entropy and chaos in a large assembly of weakly interacting systems (Articolo in rivista)

Type
Label
  • Initial growth of Boltzmann entropy and chaos in a large assembly of weakly interacting systems (Articolo in rivista) (literal)
Anno
  • 2007-01-01T00:00:00+01:00 (literal)
Alternative label
  • Falcioni, M; Palatella, L; Pigolotti, S; Rondoni, L; Vulplani, A (2007)
    Initial growth of Boltzmann entropy and chaos in a large assembly of weakly interacting systems
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Falcioni, M; Palatella, L; Pigolotti, S; Rondoni, L; Vulplani, A (literal)
Pagina inizio
  • 170 (literal)
Pagina fine
  • 184 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 385 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Univ Roma La Sapienza, INFM, Dipartimento Fis, I-00185 Rome, Italy; Univ Roma La Sapienza, INFM, Ctr Stat Mech & Complex, I-00185 Rome, Italy; IMEDEA, E-07190 Mallorca, Illes Balears, Spain; Politecn Turin, Dipartimento Matemat, I-10129 Turin, Italy; Politecn Turin, CNISM, I-10129 Turin, Italy (literal)
Titolo
  • Initial growth of Boltzmann entropy and chaos in a large assembly of weakly interacting systems (literal)
Abstract
  • We introduce a high-dimensional symplectic map, modeling a large system, to analyze the interplay between single-particle chaotic dynamics and particles interactions in thermodynamic systems. We study the initial growth of the Boltzmann entropy, S-B, as a function of the coarse-graining resolution (the late stage of the evolution is trivial, as the system is subjected to no external drivings). We show that a characteristic scale emerges, and that the behavior of S-B v(S) t, at variance with the Gibbs entropy, does not depend on the resolution, as far as it is finer than this scale. The interaction among particles is crucial to achieve this result, while the rate of entropy growth, in its early stage, depends essentially on the single-particle chaotic dynamics. It is possible to interpret the basic features of the dynamics in terms of a suitable Markov approximation. (C) 2007 Elsevier B.V. All rights reserved. (literal)
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