Critical exponents for simple non-uniform polymer networks

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Abstract
The authors study a number of non-uniform specified topologies and show rigorously that for certain topologies with cut edges, the critical exponent gamma t is in agreement with a conjecture given by Gaunt et al. (1984) and that the exponent nu t= nu , the exponent for self-avoiding walks. The authors also find that the scaling relations gamma t- gamma t1 and gamma t- gamma t11 are the same as for self-avoiding walks, previously conjectured only for uniform networks. By assigning an interaction energy to a nearest neighbour contact, they prove that the collapse transition for these topologies is the same as that for self-avoiding walks.

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