A remark on the decay of correlations for Mixed-range SPIN vector models

DOI10.1007/s10955-009-9777-2zbMath1175.82022OpenAlexW1994817999MaRDI QIDQ836986

Gastão A. Braga, Rémy Sanchis, Leandro M. Cioletti

Publication date: 9 September 2009

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-009-9777-2

zbMATH Keywords

spin-spin correlation functiondisordered phaseAizenman-Newman multiscale analysislong distance behaviourlong range spin interaction

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Statistical mechanics of magnetic materials (82D40)

Cites Work

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• Discontinuity of the percolation density in one dimensional \(1/| x- y| ^ 2\) percolation models
• Decay properties of the connectivity for mixed long range percolation models on \(\mathbb Z^{d}\)

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