Remarks about the thermostatistical description of the HMF model Part I: Equilibrium Thermodynamics

2009/10/15 by L. Velazquez, F. Guzman, Velazquez, L. +1
Physics and Astronomy · #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.0910.2906

RevTex 4.0 style, 11 pages + 5 eps figures

arxiv created 2009/10/15 · arxiv updated 2009/12/01

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.

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