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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Phase Transitions in Layered Systems

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Author(s):
Fontes, Luiz Renato [1] ; Marchetti, Domingos H. U. [2] ; Merola, Immacolata [3] ; Presutti, Errico [4] ; Vares, Maria Eulalia [5]
Total Authors: 5
Affiliation:
[1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo - Brazil
[2] Univ Sao Paulo, Inst Fis, BR-01498 Sao Paulo - Brazil
[3] Univ Aquila, DISIM, I-67100 Laquila - Italy
[4] GSSI, Laquila - Italy
[5] Univ Fed Rio de Janeiro, Inst Matemat, Rio De Janeiro - Brazil
Total Affiliations: 5
Document type: Journal article
Source: Journal of Statistical Physics; v. 157, n. 3, p. 407-421, NOV 2014.
Web of Science Citations: 4
Abstract

We consider the Ising model on where on each horizontal line , called ``layer{''}, the interaction is given by a ferromagnetic Kac potential with coupling strength , where is smooth and has compact support; we then add a nearest neighbor ferromagnetic vertical interaction of strength , where is fixed, and prove that for any larger than the mean field critical value there is a phase transition for all small enough. (AU)

FAPESP's process: 09/52379-8 - Stochastic modeling of interacting systems
Grantee:Fabio Prates Machado
Support Opportunities: Research Projects - Thematic Grants