Numerical test of the Cardy-Jacobsen conjecture in the site-diluted Potts model in three dimensions

L. A. Fernandez, A. Gordillo-Guerrero, V. Martin-Mayor, and J. J. Ruiz-Lorenzo
Phys. Rev. B 86, 184428 – Published 26 November 2012

Abstract

We present a microcanonical Monte Carlo simulation of the site-diluted Potts model in three dimensions with eight internal states, partly carried out on the citizen supercomputer Ibercivis. Upon dilution, the pure model's first-order transition becomes of the second order at a tricritical point. We compute accurately the critical exponents at the tricritical point. As expected from the Cardy-Jacobsen conjecture, they are compatible with their random field Ising model counterpart. The conclusion is further reinforced by comparison with older data for the Potts model with four states.

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  • Received 24 April 2012

DOI:https://doi.org/10.1103/PhysRevB.86.184428

©2012 American Physical Society

Authors & Affiliations

L. A. Fernandez1,2, A. Gordillo-Guerrero3,2, V. Martin-Mayor1,2, and J. J. Ruiz-Lorenzo4,2

  • 1Departamento de Física Teórica I, Universidad Complutense, 28040 Madrid, Spain
  • 2Instituto de Biocomputación and Física de Sistemas Complejos (BIFI), 50009 Zaragoza, Spain
  • 3Departamento de Ingeniería Eléctrica, Electrónica, y Automática, Universidad de Extremadura, 10071 Caceres, Spain
  • 4Departamento de Física, Universidad de Extremadura, 06071 Badajoz, Spain

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Issue

Vol. 86, Iss. 18 — 1 November 2012

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