Layered Systems at the Mean Field Critical Temperature

Autor(es)

Fontes, Luiz Renato ^[1] ; Marchetti, Domingos H. U. ^[2] ; Merola, Immacolata ^[3] ; Presutti, Errico ^[4] ; Vares, Maria Eulalia ^[5]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo, SP - Brazil

^[2] Univ Sao Paulo, Inst Fis, BR-01498 Sao Paulo, SP - Brazil

^[3] Univ Aquila, DISIM, I-67100 Laquila - Italy

^[4] GSSI, Laquila - Italy

^[5] Univ Fed Rio de Janeiro, Inst Matemat, Rio De Janeiro, RJ - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Statistical Physics; v. 161, n. 1, p. 91-122, OCT 2015.
• Citações Web of Science: 3

Resumo

We consider the Ising model on where on each horizontal line the interaction is given by a ferromagnetic Kac potential with coupling strength at the mean field critical temperature. We then add a nearest neighbor ferromagnetic vertical interaction of strength and prove that for every the systems exhibits phase transition provided is small enough. (AU)

• Processo FAPESP: 09/52379-8 - Modelagem estocástica de sistemas interagentes
• Beneficiário: Fabio Prates Machado
• Modalidade de apoio: Auxílio à Pesquisa - Temático