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The universality class of diffusion-limited aggregation and viscous-limited aggregation

机译:扩散受限聚集和粘性受限聚集的通用性类

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摘要

We investigate whether fractal viscous fingering and diffusion-limited aggregates are in the same scaling universality class. We bring together the largest available viscous fingering patterns and a novel technique for obtaining the conformal map from the unit circle to an arbitrary singly connected domain in two dimensions. These two Laplacian fractals appear different to the eye; in addition, viscous fingering is grown in parallel and the aggregates by a serial algorithm. Nevertheless, the data strongly indicate that these two fractal growth patterns are in the same universality class.
机译:我们调查分形粘性指法和扩散受限的聚集体是否在同一缩放通用性类别中。我们将最大的可用粘性指法模式和一种新颖的技术结合在一起,以获取从单位圆到二维任意任意连接域的共形图。这两个拉普拉斯分形在眼睛上看起来有所不同。此外,粘性指法并行增长,并且聚集采用串行算法。然而,数据强烈表明这两个分形增长模式在同一普遍性类别中。

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