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Fractal Aggregation Under Rotation
Authors:WU Feng-Min  WU Li-Li  LU Hang-Jun  LI Qiao-Wen  YE Gao-Xiang
Affiliation:1. College of Science, Zhejiang University, Hangzhou 310027, China;2. College of Mathematics and Physics, Zhejiang Normal University,Jinhua 321004, China;3. College of Science, Zhejiang University of Technology,Hangzhou 310014, China
Abstract:By means of the Monte Carlo simulation,a fractal growth model is introduced to describe diffusion-limited aggregation (DLA) under rotation. Patterns which are different from the classical DLA model are observed and the fractal dimension of such clusters is calculated. It is found that the patternof the clusters and their fractal dimension depend strongly on the rotation velocityof the diffusing particle. Our results indicate the transition from fractal tonon-fractal behavior of growing cluster with increasing rotation velocity, i.e. for small enough angular velocity ω the fractal dimension decreases withincreasing ω, but then, with increasing rotation velocity, the fractaldimension increases and the cluster becomes compact and tends tonon-fractal.
Keywords:rotation   diffusion-limited aggregation   Monte Carlo simulation   fractal   
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