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Article Dans Une Revue Physica A: Statistical Mechanics and its Applications Année : 2015

Some statistical equilibrium mechanics and stability properties of a class of two-dimensional Hamiltonian mean-field models

J. M. Maciel
  • Fonction : Auteur
M. A. Amato
  • Fonction : Auteur

Résumé

Abstract A two-dimensional class of mean-field models that may serve as a minimal model to study the properties of long-range systems in two space dimensions is considered. The statistical equilibrium mechanics is derived in the microcanonical ensemble using Monte Carlo simulations for different combinations of the coupling constants in the potential leading to fully repulsive, fully attractive and mixed attractive?repulsive potential along the Cartesian axis and diagonals. Then, having in mind potential realizations of long-range systems using cold atoms, the linear theory of this two-dimensional mean-field Hamiltonian models is derived in the low temperature limit.

Dates et versions

hal-01550949 , version 1 (29-06-2017)

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J. M. Maciel, Marie-Christine Firpo, M. A. Amato. Some statistical equilibrium mechanics and stability properties of a class of two-dimensional Hamiltonian mean-field models. Physica A: Statistical Mechanics and its Applications, 2015, 424, pp.34-43. ⟨10.1016/j.physa.2014.12.030⟩. ⟨hal-01550949⟩
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