Polymer statistics on a Cayley tree
- 1 September 1981
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 14 (9) , L339-L344
- https://doi.org/10.1088/0305-4470/14/9/005
Abstract
A study is made of linear and branched Polymers on a Cayley tree. Values of the critical monomer fugacity are found in closed form, for any value of the branching-point fugacity. The correlation-length exponent nu is found to be 1/2 through finite-size scaling arguments. This gives independent support to the idea that mean-field and Cayley-tree approximations are not equivalent. A proposal is made for the behaviour of nu against branching-point fugacity.Keywords
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