http://www.cnr.it/ontology/cnr/individuo/prodotto/ID182388
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
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- Rivista
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
- 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
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