Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entropy and curvature variations from effective potentials   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.

25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics