Maximum entropy generation and κ-exponential model
An 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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Volume (Year): 389 (2010)
Issue (Month): 21 ()
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- Kaniadakis, G., 2001. "Non-linear kinetics underlying generalized statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 296(3), pages 405-425.
- Lucia, Umberto, 2008. "Statistical approach of the irreversible entropy variation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3454-3460.
- 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.
- Lucia, Umberto, 2009. "Irreversibility, entropy and incomplete information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4025-4033.
- 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.
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