Branched polymers in the presence of impurities

Abstract

We study branched polymers in the presence of impurities using the branched polymer growth model, which has been proposed by Lucena et al. [Phys. Rev. Lett. 72, 230 (1994)]. To avoid boundary effects we study the growth process in chemical l-space and determine the structural exponents ${\mathit{d}}_{\mathit{l}}$, ${\mathit{d}}_{\min }$, and τ. For d=2 (square lattice) and d=3 (simple cubic lattice) our results are based on numerical simulations, while for the Bethe lattice (d=∞) the quantities of interest were obtained analytically. These results support our recent suggestion that on the critical line the branched polymers belong to the universality class of percolation. © 1996 The American Physical Society.