逾渗集团中的粘滞指进

构造了具有不同占据概率的逾渗的集团，在逾渗集团中，认为喉道半径服从贝塔分布，采用超松驰技术，模拟了逾渗     

三维空间中二组元有限扩散凝聚集团的标度性质

在三维空间中,采用连续行走的蒙特卡罗方法,模拟了两种不同尺寸的粒子的有限扩散凝聚(DLA)行为.研究了二组元DLA集团的分维和多重分形谱,结果表明:在三维空间中,随着大粒子浓度c的上升,二组元DLA集团的分维Dq和多重分形谱的谱宽△α=αmax-αmin先达到一个最大值,然后随着浓度的继续增加而下降,最后趋近一组元DLA的分维和谱宽.     

FRACTAL VISCOUS FINGERING AND ITS SCALING STRUCTURE IN RANDOM SIERPINSKI CARPET

Viscous fingering (VF) in random Sierpinski carpet is investigated by means of successive over-relaxation technique and under the assumption that bond radii are of Rayleigh distribution. In the random Sierpinski network, the VF pattern of porous media in the limit M→∞ (M is the viscosity ratio and equals to η₂/η₁ where η₁ and η₂ are the viscosities of the injected and displaced fluids, respectively) is found to be similar to the diffusion-limited aggregation (DLA) pattern. The interior of the cluster of the displacing fluid is compact on long length scales when M=1, and the pores in the interior of the cluster have been completely swept by the displacing fluid. For finite values of M such as M≥10, the pores in the interior of the cluster have been only partly swept by the displacing fluid on short length scales. But for values of M in 1f(α) sites have velocites scaling as L^-α; and the scaling function f(α) is measured and its variation with M is found.     

Scaling Behaviour of Diffusion Limited Aggregation with Linear Seed

We present a computer model of diffusion limited aggregation with linear seed. The clusters with varying linear seed lengths are simulated, and their pattern structure, fractal dimension and multifractal spectrum are obtained. The simulation results show that the linear seed length has little effect on the pattern structure of the aggregation clusters if its length is comparatively shorter. With its increasing, the linear seed length has stronger effects on the pattern structure, while the dimension D f decreases. When the linear seed length is larger, the corresponding pattern structure is cross alike. The larger the linear seed length is, the more obvious the cross-like structure with more particles clustering at the two ends of the linear seed and along the vertical direction to the centre of the linear seed. Furthermore, the multifractal spectra curve becomes lower and the range of singularity narrower. The longer the length of a linear seed is, the less irregular and nonuniform the pattern becomes.     

一类饱和反应动力学的空时结构

建立了一个典型的一级饱和反应动力学模型，给出了其定态及关于定态的线性稳定性分析．应用分岐理论求出了该模型的空时结构．结果表明它具有空时耗散结构，这对了解酶作用下一级饱和反应的动力学参量的变化有意义     

沉积岩中的分形及其在石油勘探和开发中的应用

介绍了沉积岩的分形性质，简述了沉积岩中的分形在石油勘探和开发中的应用．     

圆锥复数及其在物理学中的应用

圆锥复数是一种泛复数,由它可以非常方便地导出伽里略变化、洛伦兹变换和欧几里得变换,以及相应的速度变换规律,而这些规律分别是研究低速运动、高速运动和超光速运动的基础．下面简要地介绍圆锥复数的性质及其在物理学中的应用．考虑某虚单位ω,它可用来定义泛复数ａ＝α＋βω,（１）这里α,β均为实数．若ω分别取ｉ,ｊ,κ且满足以下诸式ａ＝α＋βｉ(ｉ满足ｉ~２＋1＝０）,（２）ａ＝α＋βｊ（ｊ满足ｊ~2－１＝０....     

Pattern Structure and Properties of Invasion Percolation in Porous Media

The percolation clusters with varying occupy probability are constructed.Invasion percolation(IP)in percolation cluster is investigated by means of IP alporithm without trapping.The pattern constructions of IP in percolation clusters are obviously different from that of visocous fingering(VF) in percolation clusters.The fractal dimension Df of IP increases with increasing the percolation probability P.The geometry and the topology of the porous media have strong effects on the pattern structure of IP.For large M(the node numbers occupied by the injected fluid),the rescaled value is Rg/M^1/Df,which asymptotically approaches a constant value,and Rg is the gyration radius of IP cluster,Moreover,the chemical dimension Dl and the shortest path exponent dmin are obtained.     

外场中的二维径向分形聚集性质

建立了一个分形聚集的粒子－集团模型（径向分层聚集模型）．研究了外场中的分形聚集性质，提出了一个关于分形聚集的阈值的证据．计算机模拟结果表明，阈值占据概率Ｐａｃ＝０．６７±０．０３，分形维数Ｄｃ＝１．７０±０．０２．