This paper is devoted to a detailed and rigorous study of the magnetization at high temperature for a p-spin interaction model with external field, generalizing the Sherrington-Kirkpatrick model. In particular, we prove that (the mean of a spin with respect to the Gibbs measure) converges to an explicitly given random variable, and that ⟨σ₁⟩,...,⟨σₙ⟩ are asymptotically independent.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am34-1-8,
author = {David M\'arquez-Carreras},
title = {The magnetization at high temperature for a p-spin interaction model with external field},
journal = {Applicationes Mathematicae},
volume = {34},
year = {2007},
pages = {97-111},
zbl = {1144.82359},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am34-1-8}
}
David Márquez-Carreras. The magnetization at high temperature for a p-spin interaction model with external field. Applicationes Mathematicae, Tome 34 (2007) pp. 97-111. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am34-1-8/