FRACTAL DIMENSIONS OF CONFINED CLUSTERS IN 2-DIMENSIONAL DIRECTED PERCOLATION

Authors
KAISER C TURBAN L
Citation
C. Kaiser et L. Turban, FRACTAL DIMENSIONS OF CONFINED CLUSTERS IN 2-DIMENSIONAL DIRECTED PERCOLATION, Journal of physics. A, mathematical and general, 27(16), 1994, pp. 120000579-120000583
Citations number
13
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
27
Issue
16
Year of publication
1994
Pages
120000579 - 120000583
Database
ISI
SICI code
0305-4470(1994)27:16<120000579:FDOCCI>2.0.ZU;2-X
Abstract
The fractal structure of directed percolation clusters, grown at the p ercolation threshold inside parabolic-like systems, is studied in two dimensions via Monte Carlo simulations. With a free surface at y = +/- Cx(k) and a dynamical exponent z, the surface shape is a relevant pert urbation when k < 1/z and the fractal dimensions of the anisotropic cl usters vary continuously with k. Analytic expressions for these variat ions are obtained using a blob picture approach.