FIRST AND SECOND ORDER TRANSITIONS IN DILUTEO(n)MODELS

Wenan Guo (), Henk W. J. Blöte () and Bernard Nienhuis
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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;
Bernard Nienhuis: Instituut voor Theoretische Fysica, Universiteit van Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam, The Netherlands

International Journal of Modern Physics C (IJMPC), 1999, vol. 10, issue 01, 291-300

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.

Keywords: O(n)model; Polymers; Phase diagram (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1142/S012918319900019X

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