Domain growth and scaling in the Q-state Potts model

K. Kaski, J. Nieminen, J.D. Gunton

    Research output: Contribution to journalArticleScientificpeer-review

    21 Citations (Scopus)

    Abstract

    The kinetics of ordering in the Q-state Potts model on a square lattice is studied for quenches from a high-temperature, disordered state to low temperatures below the phase-transition point. Growth laws for the average size of domains are obtained by Monte Carlo studies with Glauber dynamics for Q=3, 4, 6, and 8 for several low temperatures. In addition, the nonequilibrium structure factor is calculated for Q=8 and is shown to satisfy scaling. This study may be of some relevance to island growth in surface science, since the Potts model has been used to describe the adsorption of atoms on substrates.
    Original languageEnglish
    Pages (from-to)2998-3002
    Number of pages5
    JournalPhysical Review B
    Volume31
    Issue number5
    DOIs
    Publication statusPublished - 1 Mar 1985
    Publication typeA1 Journal article-refereed

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