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FIRST AND SECOND ORDER TRANSITIONS IN DILUTEO(n)MODELS

Author

Listed:
  • WENAN GUO

    (Faculty of Applied Science, P.O. Box 5046, 2600 GA Delft, The Netherlands)

  • HENK W. J. BLÖTE

    (Faculty of Applied Science, P.O. Box 5046, 2600 GA Delft, The Netherlands;
    Instituut Lorentz, Universiteit Leiden, Niels Bohrweg 2, Postbus 9506, 2300 RA Leiden, The Netherlands)

  • BERNARD NIENHUIS

    (Instituut voor Theoretische Fysica, Universiteit van Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam, The Netherlands)

Abstract

We explore the phase diagram of anO(n)model on the honeycomb lattice with vacancies, using finite-size scaling and transfer-matrix methods. We make use of the loop representation of theO(n)model, so thatnis not restricted to positive integers. For low activities of the vacancies, we observe critical points of the known universality class. At high activities the transition becomes first order. Forn=0the model includes an exactly known theta point, used to describe a collapsing polymer in two dimensions. When we varynfrom 0 to 1, we observe a tricritical point which interpolates between the universality classes of the theta point and the Ising tricritical point.

Suggested Citation

  • Wenan Guo & Henk W. J. Blöte & Bernard Nienhuis, 1999. "FIRST AND SECOND ORDER TRANSITIONS IN DILUTEO(n)MODELS," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 10(01), pages 291-300.
    • Handle: RePEc:wsi:ijmpcx:v:10:y:1999:i:01:n:s012918319900019x
    DOI: 10.1142/S012918319900019X
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    Cited by:

    1. Mark R. Thompson, 2016. "The Moral Economy of Electoralism and the Rise of Populism in the Philippines and Thailand," Journal of Developing Societies, , vol. 32(3), pages 246-269, September.

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