Details

Autor(en) / Beteiligte

• Filho, T M Rocha
• Amato, M A
• Figueiredo, A

Titel

A novel approach to the determination of equilibrium properties of classical Hamiltonian systems with long-range interactions

Ist Teil von

• Journal of physics. A, Mathematical and theoretical, 2009-04, Vol.42 (16), p.165001-165001 (11)

Ort / Verlag

Bristol: IOP Publishing

Erscheinungsjahr

2009

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• A novel approach to computing the entropy of classical Hamiltonian systems with long-range interactions is presented. The one-particle distribution function is explicitly given in closed form depending only on numerical constants obtained from solutions of purely algebraic equations. Comparison of microcanonical and canonical forms for the entropy shows that they are always the same, thus implying that both ensembles are fully equivalent unless the heat capacity is negative in some energy range. Our approach is illustrated with the Hamiltonian mean field (HMF) and a mean-field model in two spatial dimensions.