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http://hdl.handle.net/1942/3710
Title: | Nonuniversality in the collapse of 2-dimensional branched polymers | Authors: | SENO, F VANDERZANDE, Carlo |
Issue Date: | 1994 | Publisher: | IOP PUBLISHING LTD | Source: | JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 27(17). p. 5813-5830 | Abstract: | In this paper we study the complete phase diagram of a model of interacting branched polymers. The model we consider is a lattice animal one, where the collapse transition can be driven both by a contact fugacity between two occupied nearest neighbours and by a fugacity related to each occupied edge. Using a Potts model formulation of the problem we conjecture the existence of two different universality classes for the theta transitions (with thermal exponents, nu and phi, equal to (1/2, 2/3) and (8/15, 8/15)), separated by a higher-order percolation point. We also present convincing numerical evidence for these exponent values using a transfer-matrix approach. We discuss the possibility of a collapse-collapse transition and we predict the behaviour of our model when an adsorbing surface is included. | Notes: | LIMBURGS UNIV CENTRUM,DEPT WISKUNDE NAT KUNDE,B-3590 DIEPENBEEK,BELGIUM.SENO, F, UNIV OXFORD,1 KEBLE RD,OXFORD OX1 3NP,ENGLAND. | Document URI: | http://hdl.handle.net/1942/3710 | ISI #: | A1994PG47400015 | Type: | Journal Contribution |
Appears in Collections: | Research publications |
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