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Armendáriz, I.; Ferrari, P.A.; Soprano-Loto, N. "Phase transition for the dilute clock model" (2015) Stochastic Processes and their Applications. 125(10):3879-3892
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Abstract:

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. © 2015 Elsevier B.V. All rights reserved.

Registro:

Documento: Artículo
Título:Phase transition for the dilute clock model
Autor:Armendáriz, I.; Ferrari, P.A.; Soprano-Loto, N.
Filiación:Departamento de Matemática, UBA, Buenos Aires, Argentina
IMAS-CONICET, Buenos Aires, Argentina
IME-USP, São Paulo, Brazil
Palabras clave:Dilute clock model; Phase transition; Clocks; Percolation (solid state); Phase transitions; Solvents; Bernoulli; Bond percolation; Clock model; Low temperatures; Nearest neighbour; Q state; Random-cluster representations; Supercritical; Potts model
Año:2015
Volumen:125
Número:10
Página de inicio:3879
Página de fin:3892
DOI: http://dx.doi.org/10.1016/j.spa.2015.05.010
Título revista:Stochastic Processes and their Applications
Título revista abreviado:Stoch. Processes Appl.
ISSN:03044149
CODEN:STOPB
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03044149_v125_n10_p3879_Armendariz

Referencias:

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Citas:

---------- APA ----------
Armendáriz, I., Ferrari, P.A. & Soprano-Loto, N. (2015) . Phase transition for the dilute clock model. Stochastic Processes and their Applications, 125(10), 3879-3892.
http://dx.doi.org/10.1016/j.spa.2015.05.010
---------- CHICAGO ----------
Armendáriz, I., Ferrari, P.A., Soprano-Loto, N. "Phase transition for the dilute clock model" . Stochastic Processes and their Applications 125, no. 10 (2015) : 3879-3892.
http://dx.doi.org/10.1016/j.spa.2015.05.010
---------- MLA ----------
Armendáriz, I., Ferrari, P.A., Soprano-Loto, N. "Phase transition for the dilute clock model" . Stochastic Processes and their Applications, vol. 125, no. 10, 2015, pp. 3879-3892.
http://dx.doi.org/10.1016/j.spa.2015.05.010
---------- VANCOUVER ----------
Armendáriz, I., Ferrari, P.A., Soprano-Loto, N. Phase transition for the dilute clock model. Stoch. Processes Appl. 2015;125(10):3879-3892.
http://dx.doi.org/10.1016/j.spa.2015.05.010