Entropy and curvature variations from effective potentials

Details Entropy and curvature variations from effective potentials Entropy and curvature variations from effective potentials

2005-04-22

arxiv.org/abs/math-ph/0504070v1

Int. J. Mod. Phys. A. 20, (2005) 1623-1633

Physics

Mathematical Physics

12 pages, Standard LaTeX

Scientific paper

10.1142/S0217751X05022846

By using the Jacobi metric of the configuration space, and assuming ergodicity, we calculate the Boltzmann entropy $S$ of a finite-dimensional system around a non-degenerate critical point of its potential energy $V$. We compare $S$ with the entropy of a quantum or thermal system with effective potential $V_{eff}$. We examine conditions, up to first order in perturbation theory, under which these entropies are equal.

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