English

Geometry of fully coordinated, two-dimensional percolation

Statistical Mechanics 2009-10-31 v1

Abstract

We study the geometry of the critical clusters in fully coordinated percolation on the square lattice. By Monte Carlo simulations (static exponents) and normal mode analysis (dynamic exponents), we find that this problem is in the same universality class with ordinary percolation statically but not so dynamically. We show that there are large differences in the number and distribution of the interior sites between the two problems which may account for the different dynamic nature.

Keywords

Cite

@article{arxiv.cond-mat/9904289,
  title  = {Geometry of fully coordinated, two-dimensional percolation},
  author = {Eduardo Cuansing and Jae Hwa Kim and Hisao Nakanishi},
  journal= {arXiv preprint arXiv:cond-mat/9904289},
  year   = {2009}
}

Comments

ReVTeX, 5 pages, 6 figures