Collapse transition of branched polymers with a tunable number of loops
- 1 October 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 38 (10) , 6736-6740
- https://doi.org/10.1103/physrevb.38.6736
Abstract
Branched polymers described by bond lattice animals will undergo a collapse transition if the fugacity for loops is increased. Based on analysis of extensive enumerations by Sykes and collaborators of cubic-lattices embeddings, we conclude that the specific heat diverges if the tricritical point is approached, keeping the number of occupied sites constant, but exhibits a cusp if the number of bonds is fixed. This behavior is explained in terms of a ‘‘Fisher renormalization.’’Keywords
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