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

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

doi:10.1016/0960-0779(95)80066-P

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

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

Resultado de la investigación: Contribución a una revista › Artículo › revisión exhaustiva

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	585-591
Número de páginas	7
Publicación	Chaos, Solitons and Fractals
Volumen	6
N.º	C
DOI	https://doi.org/10.1016/0960-0779(95)80066-P
Estado	Publicada - 1995

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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.

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10.1016/0960-0779(95)80066-P

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title = "Fixed scale transformation applied to fractal aggregation with levy flight particle trajectories",

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.",

author = "F. Zaratti and I. Ruiz and L. Pietronero and A. Vespignani",

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.",

year = "1995",

doi = "10.1016/0960-0779(95)80066-P",

language = "Ingl{\'e}s",

volume = "6",

pages = "585--591",

journal = "Chaos, Solitons and Fractals",

issn = "0960-0779",

publisher = "Elsevier Ltd.",

number = "C",

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TY - JOUR

T1 - Fixed scale transformation applied to fractal aggregation with levy flight particle trajectories

AU - Zaratti, F.

AU - Ruiz, I.

AU - Pietronero, L.

AU - Vespignani, A.

N1 - 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.

PY - 1995

Y1 - 1995

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=58149210035&partnerID=8YFLogxK

U2 - 10.1016/0960-0779(95)80066-P

DO - 10.1016/0960-0779(95)80066-P

M3 - Artículo

AN - SCOPUS:58149210035

VL - 6

SP - 585

EP - 591

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

SN - 0960-0779

IS - C

ER -

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

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