[en] The effect of an internal extra degree of freedom introduced into the simplest growth model (the Eden model) leads to a joint physical and geometrical transition. Lacunarity, fractal, and magnetic transitions are indeed reported to be at the same critical values of the growth parameters. A logarithmic behavior of the cluster mass on this critical value was found.
Disciplines :
Physics
Author, co-author :
Vandewalle, Nicolas ; Université de Liège - ULiège > Département de physique > Physique statistique
Ausloos, Marcel ; Université de Liège - ULiège > Département de physique > Physique statistique appliquée et des matériaux - S.U.P.R.A.S.
Language :
English
Title :
Lacunarity, fractal, and magnetic transition behaviors in a generalized Eden growth-process
Publication date :
August 1994
Journal title :
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
ISSN :
1063-651X
eISSN :
1095-3787
Publisher :
American Physical Society, College Park, United States - Maryland
