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

Nikolaos Fytas, Panagiotis E. Theodorakis, Anastasios Malakis

Research output: Contribution to journalArticle

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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.
Original languageEnglish
Article number032126
Number of pages7
JournalPhysical review E: Statistical, Nonlinear, and Soft Matter Physics
Volume95
Issue number3
DOIs
Publication statusPublished - 15 Mar 2017

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Potts Model
Adsorption
adsorption
scaling
Scaling
Disordered Systems
First-order Phase Transition
Finite-size Scaling
Scaling Behavior
Extrapolation
Square Lattice
Averaging
extrapolation
signal to noise ratios
Phase Transition
Monte Carlo Simulation
First-order
Prediction
predictions
simulation

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Copyright © and Moral Rights are retained by the author(s) and/ or other copyright owners. A copy can be downloaded for personal non-commercial research or study, without prior permission or charge. This item cannot be reproduced or quoted extensively from without first obtaining permission in writing from the copyright holder(s). The content must not be changed in any way or sold commercially in any format or medium without the formal permission of the copyright holders.

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Interfacial adsorption in two-dimensional pure and random-bond Potts models. / Fytas, Nikolaos; Theodorakis, Panagiotis E.; Malakis, Anastasios.

In: Physical review E: Statistical, Nonlinear, and Soft Matter Physics, Vol. 95, No. 3, 032126, 15.03.2017.

Research output: Contribution to journalArticle

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