Physics – Condensed Matter
Scientific paper
1996-01-23
Phys. Rev. E53, 3662 (1996)
Physics
Condensed Matter
Latex 25 pages, 8 uucompressed figures, Phys. Rev. E, in press
Scientific paper
10.1103/PhysRevE.53.3662
The phase diagram of the collapse of a two-dimensional infinite branched polymer interacting with the solvent and with itself through contact interactions is studied from the $q\to 1$ limit of an extension of the $q-$ states Potts model. Exact solution on the Bethe lattice and Migdal-Kadanoff renormalization group calculations show that there is a line of $\theta$ transitions from the extended to a single compact phase. The $\theta$ line, governed by three different fixed points, consists of two lines of extended--compact transitions which are in different universality classes and meet in a multicritical point. On the other hand, directed branched polymers are shown to be completely determined by the strongly embedded case and there is a single $\theta$ transition which is in the directed percolation universality class.
Henkel Malte
Seno Flavio
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