Clustering and ensembles inequivalence in the \(\phi^{4}\) and \(\phi^{6}\) mean-field Hamiltonian models

DOI10.1016/S1007-5704(03)00055-8zbMath1032.82013arXivcond-mat/0304180OpenAlexW2108958089MaRDI QIDQ1406824

Thierry Dauxois, Stefano Ruffo, Stefano Lepri

Publication date: 7 September 2003

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0304180

zbMATH Keywords

Coherent structuresLong-range interactionMean-fieldMicrocanonical ensemble

Mathematics Subject Classification ID

Statistical thermodynamics (82B30)

Related Items (3)

Hydrodynamics and transport in the long-range-interacting φ ⁴ chain ⋮ Symmetric, explicit numerical integrator for molecular dynamics equations of motion with a generalized friction ⋮ Phase transitions and configuration space topology

Cites Work

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• Statistical mechanics of gravitating systems
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• An example of elliptic stability with large parameters: Lamé’s equation and the Arnold-Moser-Rüssmann criterion
• The accuracy of symplectic integrators

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