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Star-triangle equations and multicomponent chiral Potts models

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  • Au-Yang, Helen
  • Perk, Jacques H.H.

Abstract

Under certain conditions lipid-bilayer membranes exhibit an incommensurate ripple phase. Pearce and Scott have proposed lattice models with either next-nearest-neighbor interactions or with chiral nearest-neighbor interactions to study this phenomenon. After briefly discussing the equivalence of these two points of view, we present the results of our first search for solutions of the star-triangle equations for multicomponent chiral Potts models, generalizing some of the biomembrane models. In the nonchiral limit, the results apply also to the (Nα,Nβ) model of Domany and Riedel describing the adsorption of molecules on the surface of a crystal.

Suggested Citation

  • Au-Yang, Helen & Perk, Jacques H.H., 1991. "Star-triangle equations and multicomponent chiral Potts models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 177(1), pages 139-145.
    • Handle: RePEc:eee:phsmap:v:177:y:1991:i:1:p:139-145
    DOI: 10.1016/0378-4371(91)90145-3
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    1. Brückmann, Friedel, 1978. "Investitionsstau: Nicht allein ein ökonomisches Problem," Wirtschaftsdienst – Zeitschrift für Wirtschaftspolitik (1949 - 2007), ZBW - Leibniz Information Centre for Economics, vol. 58(8), pages 405-409.
    2. Selke, William L., 1980. "The impact of higher education on crime orientations," Journal of Criminal Justice, Elsevier, vol. 8(3), pages 175-184.
    3. Marshall Kaplan, 1960. "Neoclassical Monetary Theory," Journal of Finance, American Finance Association, vol. 15(4), pages 567-568, December.
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