On Laplace asymptotic formula for Gibbs measures with repulsive interactions
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We study the asymptotic behavior of the partition function of a finite Gibbs measure with repulsive interaction potentials. The function is a modification of the one studied by G. Gallavotti & C. Marchioro. While their approach depends on the integrability of the model, we apply the Laplace method to give an logarithmic asymptotic of the partition function. This is of some interest for the theory of the large deviation principle in the sense that the partition function has the different order of asymptotics from the one given by Varadhan's asymptotic formula.
- Kwansei Gakuin University natural sciences review
Kwansei Gakuin University natural sciences review 10, 11-25, 2005
Kwansei Gakuin University