vix.ing · top · new · best · stats · spec

Branched Polymers and Percolation

2000/08/30 by Peter Grassberger, Grassberger, Peter
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0008449

4 pages, including 5 postscript figures

arxiv created 2000/08/30 · openalex publication_date 2000/08/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a supposed model for branched polymers which was shown in two dimensions to be in the universality class of ordinary percolation. We confirm this by high statistics simulations and show that it is in the percolation universality class also for three dimensions, in contrast to previous claims. These previous studies seem to have been mislead by huge corrections to scaling in this model.

Related