Artículo
Phase transition for the dilute clock model
Fecha de publicación:
04/2015
Editorial:
Elsevier Science
Revista:
Stochastic Processes And Their Applications
ISSN:
0304-4149
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We prove that phase transition occurs in the dilute ferromagnetic nearest-neighbour q-state clock model in ℤd, for every q ≥ 2 and d ≥ 2. This follows from the fact that the Edwards-Sokal random-cluster representation of the clock model stochastically dominates a supercritical Bernoulli bond percolation probability, a technique that has been applied to show phase transition for the low-temperature Potts model. The domination involves a combinatorial lemma which is one of the main points of this article.
Palabras clave:
Dilute Clock Model
,
Phase Transition
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Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Armendáriz, María Inés; Ferrari, Pablo Augusto; Soprano Loto, Nahuel; Phase transition for the dilute clock model; Elsevier Science; Stochastic Processes And Their Applications; 125; 10; 4-2015; 3879-3892
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