Geometric variations of the Boltzmann entropy

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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9 pages, no figures

Scientific paper

10.1142/S0217984908016169

We perform a calculation of the first and second order infinitesimal
variations, with respect to energy, of the Boltzmann entropy of constant energy
hypersurfaces of a system with a finite number of degrees of freedom. We
comment on the stability interpretation of the second variation in this
framework.

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