Finite-size-scaling study of a two-dimensional lattice-gas model with a tricritical point

P. A. Rikvold, W. Kinzel, J. D. Gunton, Kimmo Kaski

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Abstract

We present a finite-size-scaling study of a two-dimensional square-lattice-gas model with nearest-neighbor repulsion and next-nearest-neighbor attraction. This system may be used as a simplified model of adsorbates on transition-metal (100) surfaces. An accurate determination of the tricritical temperature is obtained by the utilization of the degeneracy of the three largest eigenvalues of the transfer matrix at a tricritical point. We obtain the phase diagram and critical and tricritical exponents, all quite consistent with previously known results. We also find that a recent conjecture relating the critical exponent η to the correlation-length amplitude seems to work well even at the tricritical point.
Original languageEnglish
Pages (from-to)2686-2692
JournalPhysical Review B
Volume28
Issue number5
DOIs
Publication statusPublished - 1983
MoE publication typeA1 Journal article-refereed

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