The Strange Behavior of Critical Branched Polymers
Statistical Mechanics
2007-05-23 v3
Abstract
We find that 2-dimensional (2-D) critical branched polymers with no impurities conclusively belong to the same universality class as 2-D random percolation clusters, although pure critical 3-D branched polymers do not belong to the 3-D percolation universality class. We find, moreover, that the fractal dimension of critical branched polymers in 2-D is independent of the presence of a random environment, and explore possible explanations for these strange results. We also report that when there are no impurities the critical branching probability in 3-D is bc=3.34e-4 +- 0.16e-4.
Keywords
Cite
@article{arxiv.cond-mat/0007094,
title = {The Strange Behavior of Critical Branched Polymers},
author = {H. H. Aragao-Rego and J. E. de Freitas and Liacir S. Lucena and G. M. Viswanathan},
journal= {arXiv preprint arXiv:cond-mat/0007094},
year = {2007}
}
Comments
4 pages, 3 figures