paper

Geometric variations of the Boltzmann entropy

arXiv:0804.3443 · doi:10.1142/S0217984908016169

Abstract

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.

9 pages, no figures

Geometric variations of the Boltzmann entropy · wovepaper