Thermodynamic equilibrium and its stability for microcanonical systems described by the Sharma-Taneja-Mittal entropy (Articolo in rivista)

Type
Label
  • Thermodynamic equilibrium and its stability for microcanonical systems described by the Sharma-Taneja-Mittal entropy (Articolo in rivista) (literal)
Anno
  • 2005-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1103/PhysRevE.72.026123 (literal)
Alternative label
  • A.M. Scarfone (1,2); T. Wada (1,3) (2005)
    Thermodynamic equilibrium and its stability for microcanonical systems described by the Sharma-Taneja-Mittal entropy
    in Physical review. E, Statistical, nonlinear, and soft matter physics (Print); The American Physical Society, Ridge, NY (Stati Uniti d'America)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • A.M. Scarfone (1,2); T. Wada (1,3) (literal)
Pagina inizio
  • 026123 (literal)
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  • 72 (literal)
Rivista
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  • 13 (literal)
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  • 2 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • 1) Dipartimento di Fisica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy; 2) Istituto Nazionale di Fisica della Materia (INFM), Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy; 3) Department of Electrical and Electronic Engineering, Ibaraki University, Hitachi, Ibaraki, 316-8511, Japan; (literal)
Titolo
  • Thermodynamic equilibrium and its stability for microcanonical systems described by the Sharma-Taneja-Mittal entropy (literal)
Abstract
  • It is generally assumed that the thermodynamic stability of equilibrium states is reflected by the concavity of entropy. We inquire, in the microcanonical picture, about the validity of this statement for systems described by the two-parametric entropy S?,r of Sharma, Taneja, and Mittal. We analyze the \"composability\" rule for two statistically independent systems A and B, described by the entropy S?,r with the same set of the deformation parameters. It is shown that, in spite of the concavity of the entropy, the \"composability\" rule modifies the thermodynamic stability conditions of the equilibrium state. Depending on the values assumed by the deformation parameters, when the relation Sk,r(AB)>Sk,r(A)+Sk,r(B) holds (superadditive systems), the concavity condition does imply thermodynamics stability. Otherwise, when the relation Sk,r(AB)
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