Asymptotic Shape of Eden Clusters

Abstract

There has been a lot of interest in the study of the Eden model in recent years. It is known that Eden clusters are compact in any dimension. The model can be solved exactly on the Bethe lattice, and a systematic expansion in powers of (1/d) about the d= infinity solution can be developed. The scaling properties of the average width of the active region are studied by simulations and also in a theoretical model, but are not well understood. In addition, the vibrational spectra of Eden clusters without loops are studied