Abstract:
A lattice model of rooted branched polymers that has an exact solution in all dimensions is considered. Kirchhoff's theorem is used to calculate the partition function of the model. Universal behavior of the thermodynamic functions of the model in the close-packing limit is found. A matrix procedure for calculating the correlation functions is developed. The mean number of atoms of a polymer with given valence is calculated for arbitrary densities.
computed in the whole density range of polymers.
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