The Strange Behavior of Critical Branched Polymers

Details The Strange Behavior of Critical Branched Polymers The Strange Behavior of Critical Branched Polymers

2000-07-06

arxiv.org/abs/cond-mat/0007094v3

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

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.

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