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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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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© 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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