Publication: Numerical test of the Cardy-Jacobsen conjecture in the site-diluted Potts model in three dimensions
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2012-11-16
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American Physical Society
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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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© 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.
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