Numerical test of the Cardy-Jacobsen conjecture in the site-diluted Potts model in three dimensions.
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Fernandez, L. A., Gordillo-Guerrero, A., Martin-Mayor, V. 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), 184428. doi: 10.1103/PhysRevB.86.184428
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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.