Fixed scale transformation applied to fractal aggregation with levy flight particle trajectories

F. Zaratti, I. Ruiz, L. Pietronero, A. Vespignani

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)585-591
Number of pages7
JournalChaos, Solitons and Fractals
Volume6
Issue numberC
DOIs
StatePublished - 1995

Bibliographical note

Funding 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.

Fingerprint

Dive into the research topics of 'Fixed scale transformation applied to fractal aggregation with levy flight particle trajectories'. Together they form a unique fingerprint.

Cite this