The free energy of a collapsing branched polymer
- 21 November 1990
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 23 (22) , 5327-5350
- https://doi.org/10.1088/0305-4470/23/22/021
Abstract
The authors consider a number of related lattice models of branched polymers in dilute solution in which the polymer is modelled as a tree or as an animal. In order to model the effect of the thermodynamic properties of changing the temperature, or the quality of the solvent, they consider counting cycles in animals and near-neighbour contacts in both animals and trees. They show that the free energies of these models have common features and derive rigorous upper and lower bounds on the temperature dependence of the free energies. Finally, they derive series data for several of these models and compare their estimates of the limiting free energy with the rigorous bounds.Keywords
This publication has 28 references indexed in Scilit:
- Modelling the collapse transition in branched polymersPhysica A: Statistical Mechanics and its Applications, 1990
- Collapse transition of branched polymers with a tunable number of loopsPhysical Review B, 1988
- Specific heat and crossover exponents at the tricritical collapse of trailsJournal of Physics A: General Physics, 1988
- The collapse of directed animalsJournal of Physics A: General Physics, 1987
- Collapse transition and asymptotic scaling behavior of lattice animals: Low-temperature expansionJournal of Statistical Physics, 1986
- Examination of the theta -point from exact enumeration of self-avoiding walksJournal of Physics A: General Physics, 1985
- Lattice animal specific heats and the collapse of branched polymersJournal de Physique, 1984
- Collapse of branched polymersJournal de Physique, 1983
- Internal transition in an infinitely long polymer chainJournal of Physics A: General Physics, 1975
- The statistics of dimers on a latticePhysica, 1961