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

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

2009-10-15

arxiv.org/abs/0910.2906v1

Physics

Condensed Matter

Statistical Mechanics

RevTex 4.0 style, 11 pages + 5 eps figures

Scientific paper

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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