Crossover behaviour of truncated Eden models

Abstract

Motivated by recent field-theory approaches to the Eden model of cluster growth, the authors study a truncated version with a maximal number of three nearest-neighbour particles. Numerical simulations on cubic lattices show that the modification is irrelevant to the asymptotic exponent and affects only the short-distance behaviour. Beyond a crossover scale, which increases with the dimensionality, the total mass of the clusters scales as the volume of a d-dimensional sphere with asymptotic filling factors of approximately 0.7 and approximately 0.5 in d=2 and d=3, respectively.