FIXED SCALE TRANSFORMATION APPLIED TO FRACTAL AGGREGATION WITH LEVY FLIGHT PARTICLE TRAJECTORIES

We extend the Fixed Scale Transformation (FST) method, developed for L aplacian fractal growth, to the case of aggregation phenomena based on diffusing particles following Levy-flight walk. We compute analytical ly the clusters fractal dimension for different values of the exponent governing the Levy-flight trajectories. The results obtained are in v ery good agreement with the numerical simulations and show analyticall y how the different screening effects present in the Levy-flight diffu sion change the aggregates fractal dimension.