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

Nikolaos G. Fytas1,*, Panagiotis E. Theodorakis2, and Anastasios Malakis1,3

  • 1Applied Mathematics Research Centre, Coventry University, Coventry CV1 5FB, United Kingdom
  • 2Institute of Physics, Polish Academy of Sciences, Al. Lotników 32/46, 02-668, Warsaw, Poland
  • 3Department of Physics, Section of Solid State Physics, University of Athens, Panepistimiopolis, GR 15784 Zografou, Greece

  • *Corresponding author: nikolaos.fytas@coventry.ac.uk
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Phys. Rev. E 95, 032126 – Published 15 March, 2017

DOI: https://doi.org/10.1103/PhysRevE.95.032126

Abstract

We use Monte Carlo simulations to study 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 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.

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Phys. Rev. E 95, 032126– Published 15 March, 2017
  • Received 17 October 2016

©2017 American Physical Society

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