[en] The dynamic epidemic model [J. Phys. A 29, 309 (1996)] considers a simple Eden growth history in a medium containing a fraction x of mobile hindrances ("particles"). These particles an supposed to be pushed by the front of the growing cluster. We have investigated how the medium becomes organized after n successive Eden growth cycles. Applications to various fields are underlined. Unexpectedly, the mobile hindrances aggregate such that the Eden cluster becomes branched after a finite number of growth cycles.
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.
Cloots, Rudi ; Université de Liège - ULiège > Département de chimie (sciences) > Chimie inorganique structurale - Doyen de la Faculté des Sciences
Language :
English
Title :
Branched Eden clusters in the dynamic epidemic model
Publication date :
July 1998
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
