Two- parameter deformations of logarithm, exponential, and entropy: a consistent framework for generalized statistical mechanics (Articolo in rivista)

Type
Label
  • Two- parameter deformations of logarithm, exponential, and entropy: a consistent framework for generalized statistical mechanics (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.71.046128 (literal)
Alternative label
  • G. Kaniadakis (1); M. Lissia (2); A.M. Scarfone (1,2) (2005)
    Two- parameter deformations of logarithm, exponential, and entropy: a consistent framework for generalized statistical mechanics
    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
  • G. Kaniadakis (1); M. Lissia (2); A.M. Scarfone (1,2) (literal)
Pagina inizio
  • 046128 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 71 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 12 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 4 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • 1) Dipartimento di Fisica and Istituto Nazionale di Fisica della Materia (INFM), Politecnico di Torino; 2) Istituto Nazionale di Fisica Nucleare (INFN) and Physics Department, Università di Cagliari; (literal)
Titolo
  • Two- parameter deformations of logarithm, exponential, and entropy: a consistent framework for generalized statistical mechanics (literal)
Abstract
  • A consistent generalization of statistical mechanics is obtained by applying the maximum entropy principle to a trace-form entropy and by requiring that physically motivated mathematical properties are preserved. The emerging differential-functional equation yields a two-parameter class of generalized logarithms, from which entropies and power-law distributions follow: these distributions could be relevant in many anomalous systems. Within the specified range of parameters, these entropies possess positivity, continuity, symmetry, expansibility, decisivity, maximality, concavity, and are Lesche stable. The Boltzmann-Shannon entropy and some one-parameter generalized entropies already known belong to this class. These entropies and their distribution functions are compared, and the corresponding deformed algebras are discussed. (literal)
Editore
Autore CNR

Incoming links:


Autore CNR di
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi
Editore di
data.CNR.it