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arXiv · 1205.0247

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·J. J. Ruiz-Lorenzo
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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 in 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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L. A. Fernandez, A. Gordillo-Guerrero, V. Martin-Mayor, J. J. Ruiz-Lorenzo. 2012-11-17. Numerical test of the Cardy-Jacobsen conjecture in the site-diluted Potts model in three dimensions. https://doi.org/10.1103/physrevb.86.184428

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