Deterministic Eden model of charged-particles aggregation

We have studied the two-dimensional deterministic Eden model of aggregation for particles that interact via the long-range Coulomb repulsion. Two parameters governed the aggregation process: the screening length lambda and the short-range energy E of the particle attraction to the cluster. The regions of finite and infinite cluster growth having linear X-like, ramified and compact patterns were found at the phase diagram presented as lambda vs. E. The structure and fractal properties of ramified clusters were studied. We have found that all the clusters of the model do not reveal the fractal properties. In all the cases we observed the sharp transition between linear (D-f = 1) and dense-branching (D-f = 2) cluster.