Boltzmann, Gibbs, and the Concept of Equilibrium.

The Boltzmann and Gibbs approaches to statistical mechanics have very different definitions of equilibrium and entropy. The problems associated with this are discussed, and it is suggested that they can be resolved, to produce a version of statistical mechanics incorporating both approaches, by rede...

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Publicado en:Philosophy of Science Vol. 75; no. 5; pp. 682 - 697
Autor principal: Lavis, David A.
Formato: Artículo
Publicado: Cambridge University Press Dec2008
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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        au: Lavis, David A.
        affil: Department of Mathematics, King's College, London WC2R 2LS, U.K.
      su:
        Statistical mechanics
        Equilibrium
        Entropy
        Probability theory
        Thermodynamic laws
        Gibbs, J. Willard (Josiah Willard), 1839-1903
        Boltzmann, Ludwig, 1844-1906
      sug:
        subj:
          Statistical mechanics
          Equilibrium
          Entropy
          Probability theory
          Thermodynamic laws
          Gibbs, J. Willard (Josiah Willard), 1839-1903
          Boltzmann, Ludwig, 1844-1906
      ab: The Boltzmann and Gibbs approaches to statistical mechanics have very different definitions of equilibrium and entropy. The problems associated with this are discussed, and it is suggested that they can be resolved, to produce a version of statistical mechanics incorporating both approaches, by redefining equilibrium not as a binary property (being/not being in equilibrium) but as a continuous property (degrees of equilibrium) measured by the Boltzmann entropy and by introducing the idea of thermodynamic-like behavior for the Boltzmann entropy. The Kac ring model is used as an example to test the proposals.
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    language: English
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