Maximum entropy generation and κ-exponential model
AbstractAn increasing number of natural phenomena appear to deviate from standard statistical distributions. It has kindled interest in alternative formulation of statistical mechanics which should preserve most of the mathematical structures of the Boltzmann–Gibbs theory, while reproducing the phenomenology of the anomalous systems. The κ-theory has obtained a lot of results in the analysis of natural phenomena, but it was not extended to irreversible open systems. A modified κ-theory is proposed for its use in irreversible open systems.
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Bibliographic InfoArticle provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.
Volume (Year): 389 (2010)
Issue (Month): 21 ()
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Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/
Dynamical systems; Entropy; Irreversible thermodynamics; Irreversibility; κ-theory;
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- Ou, Congjie & El Kaabouchi, Aziz & Chen, Jincan & Le Méhauté, Alain & Wang, Qiuping A., 2009. "Stability of incomplete entropy and incomplete expectation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(9), pages 1813-1817.
- T. Wada & A. M. Scarfone, 2005. "A non self-referential expression of Tsallis' probability distribution function," The European Physical Journal B - Condensed Matter and Complex Systems, Springer, vol. 47(4), pages 557-561, October.
- Kaniadakis, G., 2001. "Non-linear kinetics underlying generalized statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 296(3), pages 405-425.
- Huang, Zhifu & Ou, Congjie & Méhauté, A. Le & Wang, Qiuping A. & Chen, Jincan, 2009. "Inherent correlations between thermodynamics and statistical physics in extensive and nonextensive systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(12), pages 2331-2336.
- Martı́nez, S & Nicolás, F & Pennini, F & Plastino, A, 2000. "Tsallis’ entropy maximization procedure revisited," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 286(3), pages 489-502.
- Lucia, Umberto, 2008. "Statistical approach of the irreversible entropy variation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3454-3460.
- Lucia, Umberto, 2009. "Irreversibility, entropy and incomplete information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4025-4033.
- T. Wada & A. M. Scarfone, 2009. "Asymptotic solutions of a nonlinear diffusive equation in the framework of κ-generalized statistical mechanics," The European Physical Journal B - Condensed Matter and Complex Systems, Springer, vol. 70(1), pages 65-71, July.
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