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

• Autorzy: David Márquez-Carreras
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 60G15: Gaussian processes
• 60G60: Random fields
• 82D30: Random media, disordered materials (including liquid crystals and spin glasses)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2007
• Tom: 34
• Numer: 1
• Strony: 97-111

Daty

wydano

2007

Twórcy

autor

David Márquez-Carreras

• Facultat de Matemàtiques, Universitat de Barcelona, Gran Via 585, 08007 Barcelona, Spain

Identyfikatory

DOI

10.4064/am34-1-8