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Entropy and curvature variations from effective potentials

Nikos Kalogeropoulos
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Abstract

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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Nikos Kalogeropoulos. 2005-04-22. Entropy and curvature variations from effective potentials. https://doi.org/10.1142/s0217751x05022846

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