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

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Fernández Pérez, Luis Antonio and Gordillo Guerrero, A. and Martín Mayor, Víctor and Ruiz Lorenzo, J.J. (2012) Numerical test of the Cardy-Jacobsen conjecture in the site-diluted Potts model in three dimensions. Physical review B, 86 (18). ISSN 1098-0121

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Official URL: http://doi.org/10.1103/PhysRevB.86.184428


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http://journals.aps.org/Publisher


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.


Item Type:Article
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© 2012 American Physical Society. We have been partly supported through Research Contracts No. FIS2009-12648-C03 and No. FIS2010-16587 (MICINN), No. GR10158 (Junta de Extremadura), and No. ACCVII-08 (UEX), and by UCM-Banco de Santander. We thank Ibercivis for the equivalent of 3 × 10^(6) CPU hours. The simulations were completed in the clusters Terminus (BIFI) and Horus (U. Extremadura). We also thank N. G. Fytas for a careful reading of the manuscript.

Uncontrolled Keywords:Field ising-model; 1st-order phase-transitions; Antiferromagnetic RP(2) model; Critical-behavior; Zero-temperature; Monte-Carlo; Evaporation/Condensation transition; Equilibrium droplets; Systems; Universality.
Subjects:Sciences > Physics
Sciences > Physics > Physics-Mathematical models
ID Code:37643
Deposited On:17 May 2016 12:26
Last Modified:18 May 2016 07:54

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