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

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

2006-03-28

arxiv.org/abs/cond-mat/0603744v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, no figures

Scientific paper

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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