Site-diluted Ising model in four dimensions

A. Gordillo-Guerrero, R. Kenna, and J. J. Ruiz-Lorenzo
Phys. Rev. E 80, 031135 – Published 23 September 2009

Abstract

In the literature, there are five distinct fragmented sets of analytic predictions for the scaling behavior at the phase transition in the random-site Ising model in four dimensions. Here, the scaling relations for logarithmic corrections are used to complete the scaling pictures for each set. A numerical approach is then used to confirm the leading scaling picture coming from these predictions and to discriminate between them at the level of logarithmic corrections.

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  • Received 17 June 2009

DOI:https://doi.org/10.1103/PhysRevE.80.031135

©2009 American Physical Society

Authors & Affiliations

A. Gordillo-Guerrero1, R. Kenna2, and J. J. Ruiz-Lorenzo3

  • 1Departamento de Ingeniería Eléctrica, Electrónica y Automática, Universidad de Extremadura, Avenida Universidad s/n, Cáceres 10071, Spain
  • 2Applied Mathematics Research Centre, Coventry University, Coventry CV1 5FB, United Kingdom
  • 3Departamento de Física, Universidad de Extremadura, Avenida Elvas s/n, Badajoz 06071, Spain

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Issue

Vol. 80, Iss. 3 — September 2009

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