计算物理 ›› 1992, Vol. 9 ›› Issue (S2): 683-686.

• 论文 • 上一篇    下一篇

A FRACTAL MODEL-RANDOM BRANCH GROWTH

Dai jianbiao   

  1. Department of physics, Shanghai Jiao Tong Univ. Shanghai 200030, P. R. C
  • 收稿日期:1992-03-05 出版日期:1992-12-31 发布日期:1992-12-31

A FRACTAL MODEL-RANDOM BRANCH GROWTH

Dai jianbiao   

  1. Department of physics, Shanghai Jiao Tong Univ. Shanghai 200030, P. R. C
  • Received:1992-03-05 Online:1992-12-31 Published:1992-12-31

摘要: In this paper we provide a theoretical model of fractal growth which bases on potential theory and random walk. It is characterized by branch and growth and can be used to study or simulate the river branch, breakdown, discharge and even the growth.The fractal dimension D has been measured; the relationship between D and the probability of growth outwards P-out indicates the potential condition U(r) has been discussed.We compared the computer simulations with some experiment facts, facts, the results were satisfactory.

关键词: fractal, fractal dimension, random, walk, branch, growth, discharge, Boltzmann equation

Abstract: In this paper we provide a theoretical model of fractal growth which bases on potential theory and random walk. It is characterized by branch and growth and can be used to study or simulate the river branch, breakdown, discharge and even the growth.The fractal dimension D has been measured; the relationship between D and the probability of growth outwards P-out(indicates the potential condition u(r) has been discussed.We compared the computer simulations with some experiment facts, facts, the results were satisfactory.

Key words: fractal, fractal dimension, random, walk, branch, growth, discharge, Boltzmann equation