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Chin. Phys. B, 2015, Vol. 24(5): 050504    DOI: 10.1088/1674-1056/24/5/050504
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Directional region control of the thermalfractal diffusion of a space body

Qiao Wei (乔威)a b, Sun Jie (孙洁)b, Liu Shu-Tang (刘树堂)a
a School of Control Science and Engineering, Shandong University, Jinan 250061, China;
b School of Mechanical and Electrical Engineering, Shandong University at Weihai, Weihai 264209, China
Abstract  We present a directional region control (DRC) model of thermal diffusion fractal growth with active heat diffusion in three-dimensional space. This model can be applied to predict the space body heat fractal growth and study its directional region control. When the nonlinear interference term and the inner heat source term are generalized functions, the relationship between the particle aggregation probability and the interference terms can be obtained using the norm theory. We can then predict the aggregation form of particles in different regions. When the nonlinear interference terms in the model are expressed as a trigonometric function and its composite function, our simulations show that the DRC method of thermal fractal diffusion is effective and has reference value for the directional control of actual fractal growth systems.
Keywords:  thermal diffusion      fractal growth      directional region control  
Received:  24 October 2014      Revised:  10 December 2014      Accepted manuscript online: 
PACS:  05.45.Df (Fractals)  
  61.43.Hv (Fractals; macroscopic aggregates (including diffusion-limited Aggregates))  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61273088, 61473173, and 61473174).
Corresponding Authors:  Sun Jie     E-mail:  sunj@sdu.edu.cn
About author:  05.45.Df; 61.43.Hv

Cite this article: 

Qiao Wei (乔威), Sun Jie (孙洁), Liu Shu-Tang (刘树堂) Directional region control of the thermalfractal diffusion of a space body 2015 Chin. Phys. B 24 050504

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