Fractal Dimensions of Confined Clusters in Two-Dimensional Directed Percolation

Preprint

1 September 1994

preprint
Published by arXiv in arXiv

Abstract

The fractal structure of directed percolation clusters, grown at the percolation threshold inside parabolic-like systems, is studied in two dimensions via Monte Carlo simulations. With a free surface at y=\pm Cx^k and a dynamical exponent z, the surface shape is a relevant perturbation when k<1/z and the fractal dimensions of the anisotropic clusters vary continuously with k. Analytic expressions for these variations are obtained using a blob picture approach.

Keywords

MONTE CARLO SIMULATIONS
PERCOLATION THRESHOLD
DIRECTED PERCOLATION
DIMENSIONAL DIRECTED
FRACTAL DIMENSIONS
CONFINED CLUSTERS

All Related Versions

Version 1, 1994-08-24, ArXiv
Version 2, 1994-09-01, ArXiv
Version 3, 1994-09-02, ArXiv
Version 4, 1997-09-08, ArXiv
Published version: Journal of Physics A: General Physics, 27 (16), L579.

This publication has 0 references indexed in Scilit: