FRACTIONAL DIFFUSION-LIMITED AGGREGATION: ANISOTROPY ORIGINATING FROM MEMORY-Reference-Cited by-同舟云学术

FRACTIONAL DIFFUSION-LIMITED AGGREGATION: ANISOTROPY ORIGINATING FROM MEMORY

Published:2019-11-21 Issue:08 Volume:27 Page:1950137
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

WANG YUPIN¹,LIU SHUTANG²^ORCID,LI HUI²

Affiliation:

1. Institute of Marine Science and Technology, Shandong University, Jinan 250100, Shandong, P. R. China

2. School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, P. R. China

Abstract

This paper introduces a modified DLA model, based on a fractional diffusion mechanism, as a novel approach to modeling fractal growth. The specific memory performance of fractional operators can be reflected macroscopically in aggregated patterns eventually. The influence of the model’s order on the structure and behavior of its pattern is further quantitatively described by anisotropy index and fractal dimension. Some simulations are provided to illustrate the correctness and effectiveness of the main results.

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X19501378

Reference39 articles.

1. Geometrical cluster growth models and kinetic gelation

2. Fractal Growth Phenomena

3. Fractal Geometry

4. Fractal Control Theory

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