Reference : Magnetic Eden model
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
Magnetic Eden model
Ausloos, Marcel mailto [Université de Liège - ULg > Département de physique > Physique statistique appliquée et des matériaux - S.U.P.R.A.S. >]
Vandewalle, Nicolas mailto [Université de Liège - ULg > Département de physique > Physique statistique >]
Cloots, Rudi mailto [Université de Liège - ULg > Département de chimie (sciences) > Chimie inorganique structurale - Doyen de la Faculté des Sciences >]
Europhysics Letters [=EPL]
EDP Sciences
Yes (verified by ORBi)
Les Ulis
[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.
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