We extend the Fixed Scale Transformation (FST) method, developed for Laplacian fractal growth, to the case of aggregation phenomena based on diffusing particles following Levy-flight walk. We compute analytically the clusters fractal dimension for different values of the exponent governing the Levy-flight trajectories. The results obtained are in very good agreement with the numerical simulations and show analytically how the different screening effects present in the Levy-flight diffusion change the aggregates fractal dimension.
Bibliographical noteFunding Information:
Acknowled~nents One of us (F.Z.) is grateful for the hospitality to the University of Rome where part of this work were completed with a grant of the Italian Government. I.R. is grateful to the Phys.Dept of Universidad Mayor de San Andres for hospitality during the work realization. We also would like to thank G.Parisi and M.Costantini for useful discussions and suggestions.