Phase transitions in centered-rectangular- and square-lattice-gas models

Kimmo Kaski, W. Kinzel, J. D. Gunton

Research output: Contribution to journalArticleScientificpeer-review

39 Citations (Scopus)

Abstract

Phase transitions in centered-rectangular- and square-lattice-gas models have been studied by transfer-matrix methods, with the use of finite-size scaling ideas. The transition lines and critical exponents have been obtained for the p(2×1) and p(2×2) structures for the centered-rectangular model with several pairwise interactions and a three-body interaction. This model is of interest in that the p(2×1) and p(2×2) transitions belong to the universality class of the XY model with cubic anisotropy and hence the critical exponents are nonuniversal. As well, it is a simple model of O on W(110). The transition lines have also been obtained for a square-lattice-gas model with competing interactions, for the (2×1) and (2×2) ordered structures. The importance of finite-size effects is demonstrated for both models.
Original languageEnglish
Pages (from-to)6777-6786
JournalPhysical Review B
Volume27
Issue number11
DOIs
Publication statusPublished - 1983
MoE publication typeA1 Journal article-refereed

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