FRACTIONAL DIFFUSION-LIMITED AGGREGATION: ANISOTROPY ORIGINATING FROM MEMORY
Keyword(s):
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.
2003 ◽
Vol 14
(09)
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pp. 1171-1182
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2019 ◽
Vol 29
(05)
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pp. 1950073
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2010 ◽
Vol 93-94
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pp. 35-38
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2001 ◽
Vol 250
(1-4)
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pp. 98-105
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