Decay of correlations in multicomponent ferromagnets with long-range interaction
type: Item
instance of: scholarly article
title: Decay of correlations in multicomponent ferromagnets with long-range interaction
zbMATH Open document ID: 1086.82004
DOI: 10.1016/S0034-4877(05)80092-8
author: Alina Kargol
published in: Reports on Mathematical Physics
publication date: 2006-03-16T00:00:00Z
review text: The estimate \(g_N(l)\leq Ng_1(l)\) for the two-point correlation functions of \(N\)-component ferromagnetic spin models on the lattice \(\mathbb Z^d\) with arbitrary \(d\) has been proven. By this estimate the decay of \(g_N(l)\) as \(|l|\to+\infty\) is shown to be the same as the decay of the pair-interaction potential \(J(l)\leq J_0(|l|+1)^{-d\gamma}\), \(\gamma>1\) if the temperature is above the transition point \(T_C (1)\) of the corresponding one-component model. For `large enough' temperatures, the decay of \(g_N(l)\) has been obtained for all types of the decay of \(J(l)\).
Mathematics Subject Classification ID: 82B20
zbMATH DE Number: 5012729
zbMATH Keywords: scalar domination
zbMATH Keywords: vector spin model
zbMATH Keywords: paramagnetic phase
zbMATH Keywords: decay of correlations
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5012729