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On the computation of the entropy in the microcanonical ensemble for mean-field-like systems

Alessandro Campa

cond-mat.stat-mecharXiv:cond-mat/0603744

Abstract

Two recently proposed expressions for the computation of the entropy in the microcanonical ensemble are compared, and their equivalence is proved. These expressions are valid for a certain class of statistical mechanics systems, that can be called mean-field-like systems. Among these, this work considers only the systems with the most usual hamiltonian structure, given by a kinetic energy term plus interaction terms depending only on the configurational coordinates.

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