A novel approach to the determination of equilibrium properties of classical Hamiltonian systems with long-range interactions
作者： T M Rocha Filho , M A Amato , A Figueiredo
DOI: 10.1088/1751-8113/42/16/165001
关键词: Mathematics 、 Statistical physics 、 Hamiltonian system 、 Distribution function 、 Mean field theory 、 Canonical form 、 Algebraic equation 、 Heat capacity 、 Microcanonical ensemble 、 Covariant Hamiltonian field theory 、 Mathematical analysis
摘要: A novel approach to computing the entropy of classical Hamiltonian systems with long-range interactions is presented. The one-particle distribution function explicitly given in closed form depending only on numerical constants obtained from solutions purely algebraic equations. Comparison microcanonical and canonical forms for shows that they are always same, thus implying both ensembles fully equivalent unless heat capacity negative some energy range. Our illustrated mean field (HMF) a mean-field model two spatial dimensions.
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