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Equivalence among different formalisms in the Tsallis entropy framework (Articolo in rivista)
- Type
- Label
- Equivalence among different formalisms in the Tsallis entropy framework (Articolo in rivista) (literal)
- Anno
- 2007-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1016/j.physa.2007.05.029 (literal)
- Alternative label
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- Scarfone A.M.; Wada T. (literal)
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- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
- Rivista
- 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
- CNR, INFM, I-10129 Turin, Italy; Politecn Turin, Dipartimento Fis, I-10128 Turin, Italy; Ibaraki Univ, Dept Elect & Elect Engn, Ibaraki 3168511, Japan (literal)
- Titolo
- Equivalence among different formalisms in the Tsallis entropy framework (literal)
- Abstract
- In a recent paper [T. Wada, A.M. Scarfone, Phys. Lett. A 335 (2005) 351] the authors discussed the equivalence among the various probability distribution functions of a system in equilibrium in the Tsallis entropy framework. In the present letter we extend these results to a system which is out of equilibrium and evolves to a stationary state according to a nonlinear Fokker-Planck equation (NFPE). By means of time-scale conversion, it is shown that there exists a 'correspondence' among the self-similar solutions of the NFPEs associated with the different Tsallis formalisms. The time-scale conversion is related to the corresponding Lyapunov functions of the respective NFPEs. (C) 2007 Elsevier B.V. All rights reserved. (literal)
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