Freezing and low temperature entropy: the case of mean-field Gaussian model

Flora Koukiou (1)

1 LPTM - UMR 8089 - Laboratoire de Physique Théorique et Modélisation

The freezing property is studied in connection with the low temperature behaviour of the entropy of the Gibbs measure. In particular, from the study of a functional equation relating the free energies at two different temperatures, we prove, in the case of mean-field Gaussian spin glass model, that the maximum value of the inverse temperature beyond which the specific entropy of the Gibbs measure cannot be strictly positive is β * = 4 log 2. The low temperature behaviour of the REM's entropy is also addressed.

Domaines: Physique mathématique [math-ph]

Flora Koukiou. Freezing and low temperature entropy: the case of mean-field Gaussian model. Journal of Mathematical Physics, 2020, ⟨10.1063/1.5063727⟩. ⟨hal-01870790v2⟩