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Nonlinear Ehrenfest's urn model.
Casas, G A; Nobre, F D; Curado, E M F.
Affiliation
  • Casas GA; Centro Brasileiro de Pesquisas Físicas and National Institute of Science and Technology for Complex Systems, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro, Rio de Janeiro, Brazil.
  • Nobre FD; Centro Brasileiro de Pesquisas Físicas and National Institute of Science and Technology for Complex Systems, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro, Rio de Janeiro, Brazil.
  • Curado EM; Centro Brasileiro de Pesquisas Físicas and National Institute of Science and Technology for Complex Systems, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro, Rio de Janeiro, Brazil.
Article in En | MEDLINE | ID: mdl-25974470
ABSTRACT
Ehrenfest's urn model is modified by introducing nonlinear terms in the associated transition probabilities. It is shown that these modifications lead, in the continuous limit, to a Fokker-Planck equation characterized by two competing diffusion terms, namely, the usual linear one and a nonlinear diffusion term typical of anomalous diffusion. By considering a generalized H theorem, the associated entropy is calculated, resulting in a sum of Boltzmann-Gibbs and Tsallis entropic forms. It is shown that the stationary state of the associated Fokker-Planck equation satisfies precisely the same equation obtained by extremization of the entropy. Moreover, the effects of the nonlinear contributions on the entropy production phenomenon are also analyzed.
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Collection: 01-internacional Database: MEDLINE Language: En Journal: Phys Rev E Stat Nonlin Soft Matter Phys Journal subject: BIOFISICA / FISIOLOGIA Year: 2015 Document type: Article Affiliation country:
Search on Google
Collection: 01-internacional Database: MEDLINE Language: En Journal: Phys Rev E Stat Nonlin Soft Matter Phys Journal subject: BIOFISICA / FISIOLOGIA Year: 2015 Document type: Article Affiliation country: