Vesicles, the tricritical-0-state Potts model, and the collapse of branched polymers
- 7 June 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 70 (23) , 3595-3598
- https://doi.org/10.1103/physrevlett.70.3595
Abstract
We relate a cycle model for the collapse of branched polymers without holes (in d=2) to the problem of self-avoiding rings with an area fugacity, studied in the context of vesicles. This relation together with arguments which show that the collapse transition of branched polymers (with holes) is described by the tricritical-zero-state Potts model allows a determination of all critical exponents at this collapse point; ν=1/2, φ=2/3, τ=2, in agreement with numerical results. We also comment on the universality of this result.Keywords
This publication has 25 references indexed in Scilit:
- Diffusion-limited aggregation at equilibriumPhysical Review A, 1992
- Percolation, the specialFTHETA’ point, and theFTHETA-FTHETA’ universality puzzlePhysical Review Letters, 1991
- Self-avoiding random surfaces: Monte Carlo study using oct-tree data-structureJournal of Physics A: General Physics, 1991
- Contact models of a collapsing branched polymerPhysica A: Statistical Mechanics and its Applications, 1991
- Two-dimensional lattice vesicles and polygonsJournal of Physics A: General Physics, 1991
- The free energy of a collapsing branched polymerJournal of Physics A: General Physics, 1990
- Thermodynamic behavior of two-dimensional vesiclesPhysical Review Letters, 1987
- Exact tricritical exponents for polymers at theFTHETApoint in two dimensionsPhysical Review Letters, 1987
- Exact Critical Point and Critical Exponents ofModels in Two DimensionsPhysical Review Letters, 1982
- Critical Behavior of Branched Polymers and the Lee-Yang Edge SingularityPhysical Review Letters, 1981