Remarks about the thermostatistical description of the HMF model Part I: Equilibrium Thermodynamics
arXiv:0910.2906
Abstract
In this series of papers we shall carry out a reconsideration of the thermodynamical behavior of the called HMF model, a paradigmatic ferromagnetic toy model exhibiting many features of the real long-range interacting systems. This first work is devoted to perform the microcanonical description of this model system: the calculation of microcanonical entropy and some fundamental thermodynamic observables, the distribution and correlation functions, as well as the analysis of the thermodynamical stability and the relevant thermodynamic limit.
RevTex 4.0 style, 11 pages + 5 eps figures