Interfacial adsorption in Potts models on the square lattice

Nikolaos Fytas, A. Malakis, W. Selke, L.N. Shchur

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    Abstract

    We study the effect of interfacial phenomena in two-dimensional perfect and random (or disordered) q-state Potts models with continuous phase transitions, using, mainly, Monte Carlo techniques. In particular, for the total interfacial adsorption, the critical behavior, including corrections to scaling, are analyzed. The role of randomness is scrutinized. Results are discussed applying scaling arguments and invoking findings for bulk critical properties. In all studied cases, i.e., q = 3, 4, and q = 8, the spread of the interfacial adsorption profiles is observed to increase linearly with the lattice size at the bulk transition point.
    Original languageEnglish
    Pages (from-to)204
    JournalEuropean Physical Journal B
    Volume88
    DOIs
    Publication statusPublished - 10 Aug 2015

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    Bibliographical note

    The final publication is available at Springer via http://dx.doi.org/10.1140/epjb/e2015-60326-8.

    Keywords

    • Statistical and Nonlinear Physics

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