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Magnetic Eden model
Ausloos, Marcel; Vandewalle, Nicolas; Cloots, Rudi
1993In Europhysics Letters, 24 (8), p. 629-634
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Abstract :
[en] We introduce the <<Magnetic Eden Model(s)>>. It consists in the usual Eden growth model(s), but allowing for the elements of the growth to have an extra degree of freedom (a <<spin>>). The growth is controlled by a condition depending on the <<magnetic state>> of the perimeter (through some <<spin coupling>>) and an external parameter, the <<magnetic field>>. Even though these words seem to refer to some <<energetic condition>> the growth model is of purely kinetic origin. This is demonstrated by exactly solving the 1-dimensional growth model for a semi-open chain, and, e.g. finding the correlation functions. In two-dimensions, simulations of clusters lead us to show that the perimeter growth exponent is coupling dependent. We show the morphologies of growth clusters on a <<phase diagram>> and indicate the <<physical origin>> and transition(s) between compact and lacunar clusters.
Disciplines :
Physics
Author, co-author :
Ausloos, Marcel ;  Université de Liège - ULiège > Département de physique > Physique statistique appliquée et des matériaux - S.U.P.R.A.S.
Vandewalle, Nicolas  ;  Université de Liège - ULiège > Département de physique > Physique statistique
Cloots, Rudi ;  Université de Liège - ULiège > Département de chimie (sciences) > Chimie inorganique structurale - Doyen de la Faculté des Sciences
Language :
English
Title :
Magnetic Eden model
Publication date :
10 December 1993
Journal title :
Europhysics Letters
ISSN :
0295-5075
eISSN :
1286-4854
Publisher :
EDP Sciences, Les Ulis, France
Volume :
24
Issue :
8
Pages :
629-634
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 07 August 2009

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