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cond-mat.softApr 1, 2001
25
citations (OpenAlex)
authors
  • M. B. Hastings
institutions
  • Los Alamos National Laboratory
arXiv abstractPDF
paper

Growth Exponents with 3.99 Walkers

arXiv:cond-mat/0104344 · doi:10.1103/PhysRevE.64.046104

Abstract

It is argued that the dielectric-breakdown model has an upper critical ηc​ equal to 4, for which the clusters become one-dimensional. A renormalization group treatment of the model is presented near the critical η.

13 pages, 2 figures; corrected references, minor corrections; minor corrections, final version

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  • Loewner equation for Laplacian growth: A Schwarz-Christoffel-transformation approach
  • SLE scaling limits for a Laplacian random growth model
  • Tip growth in a strongly concentrated aggregation model follows local geodesics
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