On the microcanonical solution of a system of fully coupled particles

DOI10.1016/S0960-0779(01)00020-0zbMath1006.81572arXivcond-mat/9810048OpenAlexW2012217929WikidataQ61763199 ScholiaQ61763199MaRDI QIDQ5954861

Mickaël Antoni, Haye Hinrichsen, Stefano Ruffo

Publication date: 16 March 2003

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9810048

zbMATH Keywords

entropyHamiltonian mean field model\(N\) fully coupled particlesfree energy in the canonical ensembleLegendre transform techniquesmetastabletemperature-energy relationwater bag states

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

Related Items (4)

Metastable states, anomalous distributions and correlations in the HMF model ⋮ Fingerprints of nonextensive thermodynamics in a long-range Hamiltonian system ⋮ Large deviation techniques applied to systems with long-range interactions ⋮ A solvable problem in statistical mechanics: the dipole-type Hamiltonian mean field model

Cites Work

• Exact solutions in the FPU oscillator chain
• Ergodic properties of microcanonical observables
• Self-consistent chaos in the beam-plasma instability
• Chaos and statistical mechanics in the Hamiltonian mean field model.
• Self-consistent check of the validity of Gibbs calculus using dynamical variables.
• Chaotic behavior in nonlinear Hamiltonian systems and equilibrium statistical mechanics.
• Chaos and irreversibility: Introductory Comments
• The accuracy of symplectic integrators

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