Scaling of Overhang Distribution of Invasion Percolation Fronts

Autor:	Liv Furuberg, Jens Feder, Einar L. Hinrichsen, Alex Hansen, Torstein Jøssang
Rok vydání:	1991
Předmět:	Physics Perimeter Distribution (number theory) Cluster (physics) Geometry Condensed Matter Physics Invasion percolation Power law Fractal dimension Scaling Mathematical Physics Atomic and Molecular Physics and Optics
Zdroj:	Physica Scripta. :91-94
ISSN:	1402-4896 0031-8949
DOI:	10.1088/0031-8949/1991/t38/020
Popis:	We analyse simulations of invasion percolation with a gradient in two dimensions. The fronts of the invaded structures are examined using the overhang size distribution introduced by Hansen et al. [1]. We observe that overhang sizes h are distributed according to a power law: nh ~ h-a where a is measured to be a = 2.3 ± 0.1. The fractal dimension of the external perimeter of invasion percolation clusters is known to be De 1.35. We argue that in general a = Da + 1, where Da is the fractal dimension of the perimeter sampled by particles coming from outside the cluster and moving in straight lines paralles to the gradient and the overhangs.
Databáze:	OpenAIRE
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