Classical spin systems with long-range interactions: universal reduction of mixing

DOI10.1016/S0375-9601(01)00440-6zbMath0969.82513arXivcond-mat/0007104OpenAlexW3101258209MaRDI QIDQ5938065

Daniele Moroni, Constantino Tsallis, Alessandro Campa, Andrea Giansanti

Publication date: 31 July 2001

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0007104

zbMATH Keywords

thermodynamicslargest Lyapunov exponentcoupled rotators

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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What should a statistical mechanics satisfy to reflect nature? ⋮ Metastable states, anomalous distributions and correlations in the HMF model ⋮ Remarks about the Tsallis formalism ⋮ The nonadditive entropy \(S_q\) and its applications in physics and elsewhere: some remarks ⋮ Scaling with System Size of the Lyapunov Exponents for the Hamiltonian Mean Field Model ⋮ SOME OPEN POINTS IN NONEXTENSIVE STATISTICAL MECHANICS ⋮ Inter-occurrence times and universal laws in finance, earthquakes and genomes ⋮ Generalization of the Kolmogorov-Sinai entropy: logistic-like and generalized cosine maps at the chaos threshold ⋮ On mixing and metaequilibrium in nonextensive systems ⋮ Influence of the interaction range on the thermostatistics of a classical many-body system ⋮ Entropic nonextensivity: A possible measure of complexity ⋮ Universal behaviour in the static and dynamic properties of the \(\alpha\)-\(XY\) model ⋮ Mixing and equilibration: protagonists in the scene of nonextensive statistical mechanics ⋮ Effects of site dilution on the one-dimensional long-range bond-percolation problem

Cites Work

• The rate of entropy increase at the edge of chaos
• Chaos and statistical mechanics in the Hamiltonian mean field model.
• On the van der Waals Theory of the Vapor-Liquid Equilibrium. I. Discussion of a One-Dimensional Model
• Nonextensive statistical mechanics and its applications. Papers from the IMS winter school on statistical mechanics: nonextensive generalization of Boltzmann-Gibbs statistical mechanics and its applications, Okazaki, Japan, February 15--18, 1999

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