Geometry of fully coordinated, two-dimensional percolation

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...

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Bibliographic Details
Published inarXiv.org
Main Authors Cuansing, Eduardo, Kim, Jae Hwa, Nakanishi, Hisao
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 20.04.1999
Subjects
Computer simulation
Exponents
Monte Carlo simulation
Percolation
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.9904289