Geometric variations of the Boltzmann entropy
Statistical Mechanics
2008-11-26 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.0804.3443,
title = {Geometric variations of the Boltzmann entropy},
author = {Nikos Kalogeropoulos},
journal= {arXiv preprint arXiv:0804.3443},
year = {2008}
}
Comments
9 pages, no figures