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Two-Dimensional Wang–Landau Sampling Of An Asymmetric Ising Model

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  • SHAN-HO TSAI

    (Enterprise Information Technology Services, University of Georgia, Athens, GA 30602, USA;
    Center for Simulational Physics, University of Georgia, Athens, GA 30602, USA)

  • FUGAO WANG

    (Center for Simulational Physics, University of Georgia, Athens, GA 30602, USA)

  • D. P. LANDAU

    (Center for Simulational Physics, University of Georgia, Athens, GA 30602, USA)

Abstract

We study the critical endpoint behavior of an asymmetric Ising model with two- and three-body interactions on a triangular lattice, in the presence of an external field. We use a two-dimensional Wang–Landau sampling method to determine the density of states for this model. An accurate density of states allowed us to map out the phase diagram accurately and observe a clear divergence of the curvature of the spectator phase boundary and of the derivative of the magnetization coexistence diameter near the critical endpoint, in agreement with previous theoretical predictions.

Suggested Citation

  • Shan-Ho Tsai & Fugao Wang & D. P. Landau, 2009. "Two-Dimensional Wang–Landau Sampling Of An Asymmetric Ising Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(09), pages 1357-1366.
    • Handle: RePEc:wsi:ijmpcx:v:20:y:2009:i:09:n:s0129183109014424
    DOI: 10.1142/S0129183109014424
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