Reference : Magnetic Eden model

	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Physics
	To cite this reference:	http://hdl.handle.net/2268/17952

Title :	Magnetic Eden model
Language :	English
Author, co-author :	Ausloos, Marcel [Université de Liège - ULg > Département de physique > Physique statistique appliquée et des matériaux - S.U.P.R.A.S. >]
	Vandewalle, Nicolas [Université de Liège - ULg > Département de physique > Physique statistique >]
	Cloots, Rudi [Université de Liège - ULg > Département de chimie (sciences) > Chimie inorganique structurale - Doyen de la Faculté des Sciences >]
Publication date :	10-Dec-1993
Journal title :	Europhysics Letters [=EPL]
Publisher :	EDP Sciences
Volume :	24
Issue/season :	8
Pages :	629-634
ISSN :	0295-5075
City :	Les Ulis
Country :	France
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.
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/2268/17952

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