摘要
本文给出了载体表面上固相分子扩散的计算机模拟模型和结果。利用细胞自动机(cellulsr automata)的技术和方法,经过400多步的计算,给出了四类具有不同的内部吸附力的固相分子经过扩散之后所得的不同的空间构型及其相应的分数维数。模型假设一个粒子从格点(i,j)向另一个格点(k,l)跃跳的几率P(il-kl)由此两格点上的粒子数决定,并提出具体的计算公式。此外,P(ij-kl)还是反映扩散相内部吸附力的控制参数A的函数,由此扩散而得的表面是个分形,且维数在2.07到2.33之间。本文还讨论了固相分子能在载体上均匀分散成单层分子膜的条件。
The model and results of solid dispersion on carrier surface are presented, The molecular dispersion proceeding has been simulated by means of cellular automata, The probability P(ij-kl) has been assumed to be related to n(ij) and n(kl), which are the numbers of the particles at site (ij) and site (kl), respectively. The probability function could be changed by a control parameter A, The resulting surface is a fractal, The fractal dimensions are in the range 2.07 to 2.33, The condition has been discussed on which the solid can disperse as a monolayer onto carrier.
出处
《北京大学学报（自然科学版）》
CAS
CSCD
北大核心
1992年第5期566-574,共9页
Acta Scientiarum Naturalium Universitatis Pekinensis
关键词
扩散
固相
载体表面
计算机模拟
Dispersion
Solid
Carrier surface
Computer simulation
Cellular automata
Fractal
Fractal dimension
