Open AccessSCREENING BEHAVIOR OF THE DIFFUSION-LIMITED AGGREGATION FOR SOME RANDOM WALK PARTICLES
Author(s) -
Weng Jia-Qiang,
Lingjiang Kong,
Guangzhi Chen
Publication year - 1990
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.39.19-2
Subject(s) - random walk , statistical physics , aggregate (composite) , diffusion , euclidean geometry , computer science , euclidean space , diffusion limited aggregation , diffusion process , physics , mathematics , mathematical analysis , materials science , statistics , thermodynamics , nanotechnology , innovation diffusion , geometry , fractal dimension , fractal , knowledge management
According to the computer simulation results for diffusion-limited aggregation in two-dimensional Euclidean space, we give a discussion about some formula for the screening behavior introduced by Muthukumar, Tokuyama, Hentschel and Mutsushita separately. We show that these formula give a large disaggreement with our computer simulation results for a finite system. Then, through the analysis of the process of aggregation by random walk particles, we obtain a equation for the screening behavior that agrees with the simulations in this paper. Finally, we find that the formula introduced by Muthukumar is correct if the aggregate is sufficiently large.