Entropy and curvature variations from effective potentials
نویسنده
چکیده
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 Veff . We examine conditions, up to first order in perturbation theory, under which these entropies are equal. PACS: 02.40.Ky, 02.40.Yy, 45.20.Jj
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