Incomplete statistics: Nonextensive generalizations of statistical mechanics
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Publication:1862345
DOI10.1016/S0960-0779(00)00113-2zbMath1022.82001arXivcond-mat/0009343OpenAlexW2202518843MaRDI QIDQ1862345
Publication date: 19 March 2003
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/cond-mat/0009343
Foundations of equilibrium statistical mechanics (82B03) Measures of information, entropy (94A17) Stochastic mechanics (including stochastic electrodynamics) (81P20)
Related Items (30)
On certain incomplete statistics ⋮ Measuring information growth in fractal phase space ⋮ Shannon entropy reinterpreted ⋮ Two-parameter fractional Tsallis information dimensions of complex networks ⋮ Maximum entropy change and least action principle for nonequilibrium systems ⋮ A new expression of the probability distribution in incomplete statistics and fundamental thermodynamic relations ⋮ Gibbs' theorem for open systems with incomplete statistics ⋮ Equilibrium statistical mechanics for incomplete nonextensive statistics ⋮ Integrals and derivatives on net fractals. ⋮ PHYSICAL TEMPERATURE AND PRESSURE IN FULLY NONEXTENSIVE STATISTICAL THERMODYNAMICS ⋮ Generalized algebra within a nonextensive statistics ⋮ Tsallis entropy, escort probability and the incomplete information theory ⋮ Fractional information dimensions of complex networks ⋮ Extensive statistical mechanics based on nonadditive entropy: canonical ensemble ⋮ GENERALIZED MEASURE OF UNCERTAINTY AND THE MAXIMIZABLE ENTROPY ⋮ Extensive Rényi statistics from non-extensive entropy ⋮ Applying incomplete statistics to nonextensive systems with different \(q\) indices ⋮ About ``On certain incomplete statistics by Lima et al. ⋮ Extensive generalization of statistical mechanics based on incomplete information theory ⋮ Phase space cell in nonextensive classical systems ⋮ H-theorem and generalized entropies within the framework of nonlinear kinetics ⋮ Extensive generalization of statistical mechanics based on incomplete information theory ⋮ Phase space cell in nonextensive classical systems ⋮ Nonextensive distribution and factorization of the joint probability ⋮ On the axiomatic requirement of range to measure uncertainty ⋮ MAXIMIZABLE INFORMATIONAL ENTROPY AS A MEASURE OF PROBABILISTIC UNCERTAINTY ⋮ A statistical description for the quasi-stationary-states of the dipole-type Hamiltonian mean field model based on a family of Vlasov solutions ⋮ Many-body \(q\)-exponential distribution prescribed by factorization of joint probability ⋮ Temperature definition and fundamental thermodynamic relations in incomplete statistics ⋮ Quantum gas distribution prescribed by factorization hypothesis of probability
Cites Work
- Scale relativity and fractal space-time: applications to quantum physics, cosmology and chaotic systems.
- Some comments on Boltzmann-Gibbs statistical mechanics
- On infinitesimal deformed algebra and fractal space-time theory
- On the electroweak mixing angle in \({\mathcal E}^{(\infty)}\)
- Possible generalization of Boltzmann-Gibbs statistics.
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