LACUNARITY, FRACTAL, AND MAGNETIC TRANSITION BEHAVIORS IN A GENERALIZED EDEN GROWTH-PROCESS

Authors
VANDEWALLE N AUSLOOS M
Citation
N. Vandewalle et M. Ausloos, LACUNARITY, FRACTAL, AND MAGNETIC TRANSITION BEHAVIORS IN A GENERALIZED EDEN GROWTH-PROCESS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 50(2), 1994, pp. 180000635-180000638
Citations number
15
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
50
Issue
2
Year of publication
1994
Part
A
Pages
180000635 - 180000638
Database
ISI
SICI code
1063-651X(1994)50:2<180000635:LFAMTB>2.0.ZU;2-8
Abstract
The effect of an internal extra degree of freedom introduced into the simplest growth model (the Eden model) leads to a joint physical and g eometrical transition. Lacunarity, fractal, and magnetic transitions a re indeed reported to be at the same critical values of the growth par ameters. A logarithmic behavior of the cluster mass on this critical v alue was found.