Interfacial adsorption in two-dimensional pure and random-bond Potts models

Abstract

We study using Monte Carlo simulations the finite-size scaling behavior of the interfacial adsorption of the two-dimensional square-lattice $q$-states Potts model. We consider the pure and random-bond versions of the Potts model for $q=3,4,5,8$ and $q=10$, thus probing the interfacial properties at the originally continuous, weak, and strong first-order phase transitions. For the pure systems our results support the early scaling predictions for the size dependence of the interfacial adsorption at both first- and second-order phase transitions. For the disordered systems, the interfacial adsorption at the (disordered induced) continuous transitions is discussed, applying standard scaling arguments and invoking findings for bulk critical properties. The self-averaging properties of the interfacial adsorption are also analyzed by studying the infinite limit-size extrapolation of properly defined signal-to-noise ratios.

7 pages, 5 figures, final version to be published in Phys. Rev. E. arXiv admin note: text overlap with arXiv:1504.07425

References in corpus (4)

• SLE in the three-state Potts model - a numerical study
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• Critical behavior of interfaces in disordered Potts ferromagnets : statistics of free-energy, energy and interfacial adsorption
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Cited by in corpus (2)

• On superuniversality in the $q$-state Potts model with quenched disorder
• Monte Carlo study of the interfacial adsorption of the Blume-Capel model