[en] We introduce the <>. 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 <>). The growth is controlled by a condition depending on the <> of the perimeter (through some <>) and an external parameter, the <>. Even though these words seem to refer to some <> 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 <> and indicate the <> 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
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