On the large interaction asymptotics of the free energy density of the Ising chain with disordered centered external field

2024/03/28 by Orphée Collin, Collin, Orphée · 2 citations
Mathematics · Physics and Astronomy · #60K35 #60K37 #82B44 #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2403.19626

openalex publication_date 2024/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This article completes [G. Giacomin, R. Greenblatt, ALEA 2022] by identifying explicitly the leading coefficient in the asymptotic development of the free energy density of the centered Random Field Ising Chain as the spin-spin interaction of the chain goes to infinity, under general assumptions on the disorder law.

Cited by

• Further results on the free energy of the random field Ising chain in the case of centered disorder
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