A note onq-Gaussians and non-Gaussians in statistical mechanics

DOI10.1088/1742-5468/2007/06/P06003zbMath1456.82003arXiv0705.0600MaRDI QIDQ5239359

Grégory Schehr, Hendrik Jan Hilhorst

Publication date: 22 October 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.0600

zbMATH Keywords

exact resultsstochastic processes (theory)rigorous results in statistical mechanicsclassical Monte Carlo simulations

Mathematics Subject Classification ID

Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Foundations of equilibrium statistical mechanics (82B03) Basic hypergeometric functions (33D99)

Related Items (11)

Stochastic dynamics of \(N\) correlated binary variables and non-extensive statistical mechanics ⋮ Robust full-waveform inversion using \(q\)-statistics ⋮ Generalized Poisson ensemble ⋮ Nonlinear Fokker-Planck equations in super-diffusive and sub-diffusive regimes ⋮ Stability criteria for \(q\)-expectation values ⋮ Note on aq-modified central limit theorem ⋮ On the robustness of the \(q\)-Gaussian family ⋮ Escort entropies and divergences and related canonical distribution ⋮ Approach of complexity in nature: entropic nonuniqueness ⋮ Probabilistic model of \(N\) correlated binary random variables and non-extensive statistical mechanics ⋮ Generalization of symmetric α-stable Lévy distributions for q>1

Cites Work

• Temperature fluctuations of the cosmic microwave background radiation: a case of non-extensivity?
• Possible generalization of Boltzmann-Gibbs statistics.
• Fingerprints of nonextensive thermodynamics in a long-range Hamiltonian system

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