The magnetization at high temperature for a p-spin interaction model with external field

David Márquez-Carreras. "The magnetization at high temperature for a p-spin interaction model with external field." Applicationes Mathematicae 34.1 (2007): 97-111. <http://eudml.org/doc/279828>.

@article{DavidMárquez2007,
abstract = {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 $⟨σ_i⟩$ (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.},
author = {David Márquez-Carreras},
journal = {Applicationes Mathematicae},
keywords = {spin glasses; -spin model; magnetization; cavity method},
language = {eng},
number = {1},
pages = {97-111},
title = {The magnetization at high temperature for a p-spin interaction model with external field},
url = {http://eudml.org/doc/279828},
volume = {34},
year = {2007},
}

TY - JOUR
AU - David Márquez-Carreras
TI - The magnetization at high temperature for a p-spin interaction model with external field
JO - Applicationes Mathematicae
PY - 2007
VL - 34
IS - 1
SP - 97
EP - 111
AB - 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 $⟨σ_i⟩$ (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.
LA - eng
KW - spin glasses; -spin model; magnetization; cavity method
UR - http://eudml.org/doc/279828
ER -