MAGNETIC EDEN MODEL

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 h ave an extra degree of freedom (a <<spin>>). The growth is controlled by a condition depending on the <<magnetic state>> of the perimeter (t hrough some <<spin coupling>>) and an external parameter, the <<magnet ic field>>. Even though these words seem to refer to some <<energetic condition>> the growth model is of purely kinetic origin. This is demo nstrated by exactly solving the 1-dimensional growth model for a semi- open chain, and, e.g., finding the correlation functions. In two-dimen sions, simulations of clusters lead us to show that the perimeter grow th exponent is coupling dependent. We show the morphologies of growth clusters on a <<phase diagram>> and indicate the <<physical origin>> a nd transition(s) between compact and lacunar clusters.