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fractal growth
相关语句
  分形生长
    New Model on Fractal Growth
    分形生长的新模型
短句来源
    TWO NON-LINEAR MODELS IN DYNAMICS OF FRACTAL GROWTH
    分形生长动力学中的两种非线性模型
短句来源
    The reaserch method and conclusion can be used in the diffusion process, polymerization and fractal growth phenomena.
    所采用的方法和得到的结论可应用于扩散过程、聚集过程和分形生长现象的分析。
短句来源
    Lastly, the characteristics of fractal growth and possible significant applications in industries were discussed.
    最后介绍了分形生长结构具有的特点及其对实际工程的重要指导意义.
短句来源
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  fractal growth
These cluster growth pathways were compared with the fractal growth mechanisms of colloidal particles.
      
The results for different stages of fractal growth within the first-order nonlinear approximation are found.
      
Theassembly of the individual parallelograms and aseries of glues and protecting groups appear toensure the fractal growth of the system in twodimensions.
      
The fractal growth of fatigue defects in materials
      
The concept of fractal growth and form offers novel approaches to understanding morphogenesis and function from the level of the gene to the organism.
      
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As well known, the processes of fractal growth are a problem of moving boundaries. Two non-linear models in dynamics of fractal growth describing moving boundaries are given, and the solubility problems of the present two non-linear models are proved based on physical essence of moving boundaries.

分形生长过程是运动边界问题,文中给出了用运动边界条件描述的分形生长动力学的两种非线性模型,并依据运动边界的物理本质,给出了这两种非线性模型可解性定理的证明。

The geometrical characteristic of random walk configuration on lattice and percolation is researched. By using the numerical simulation and scale law theory, the track configuration is simulated and analyzed. The principal inertial moment and asphericity of the configuration are detemined. By means of statistics method, the simulation data are analyzed. The probability distributions of principal inertial moment and aphericity are obtained. Appling fractal theory, the fractal characteristics of the configuration...

The geometrical characteristic of random walk configuration on lattice and percolation is researched. By using the numerical simulation and scale law theory, the track configuration is simulated and analyzed. The principal inertial moment and asphericity of the configuration are detemined. By means of statistics method, the simulation data are analyzed. The probability distributions of principal inertial moment and aphericity are obtained. Appling fractal theory, the fractal characteristics of the configuration are analyzed, and some fractal exponents of the configuration are obtained. The reaserch method and conclusion can be used in the diffusion process, polymerization and fractal growth phenomena.

应用数值模拟和幂律分析相结合的方式,对格和渗滤网络上的随机游动所产生的构型进行了模拟和分析,确定了轨迹结构的主轴矩和非球性指标。应用统计分析方法对数值模拟的结果进行了分析,确定了主轴矩和非球性指标的概率分布密度,并应用分形几何的理论分析了轨迹结构的分形特征和相关的分形指标。所采用的方法和得到的结论可应用于扩散过程、聚集过程和分形生长现象的分析。

Research of fractal growth has ever been a rather challenging problem in academic and engineering fields.The present paper analyzed the processes of fractal formation from the first principle,which is different from traditional models such as DLA,DME and Eden etc.A new model on fractal growth was generally proposed and the scaling law was further derived.Lastly, the characteristics of fractal growth and possible significant applications in industries were discussed.

为研究分形生长在实际工程中的应用问题,从分形产生的机理出发,突破传统的纯计算机模拟模型(如DLA、DMB和Eden模型等),应用第一原理分析了分形结构形成的过程,从普遍意义上提出了新的分形生长模型,并推导出分形生长结构的标度关系.最后介绍了分形生长结构具有的特点及其对实际工程的重要指导意义.

 
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