English

Growth Exponents with 3.99 Walkers

Soft Condensed Matter 2009-11-07 v4

Abstract

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

Keywords

Cite

@article{arxiv.cond-mat/0104344,
  title  = {Growth Exponents with 3.99 Walkers},
  author = {M. B. Hastings},
  journal= {arXiv preprint arXiv:cond-mat/0104344},
  year   = {2009}
}

Comments

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

R2 v1 2026-07-22T10:20:01.608Z