Open AccessAN ANALYTICAL STUDY ON THE SCALING PROPERTIES OF DIFFUSION-LIMITED AGGREGATION IN EXTERNAL FIELDS
Author(s) -
Yongchao Jiang,
Gang Hu
Publication year - 1988
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.37.1486
Subject(s) - scaling , cluster (spacecraft) , statistical physics , constant (computer programming) , diffusion , diffusion limited aggregation , field (mathematics) , scaling law , cluster size , physics , condensed matter physics , mathematical analysis , mathematics , thermodynamics , computer science , geometry , fractal dimension , pure mathematics , fractal , programming language , electronic structure
We have investigated the scaling properties of DLA clusters grown in the various kinds of external fields, using the meanfield theory with the continuum approximation. Our results show that the density of the growing cluster, ρ, initially dropping as 1/r, and becomes a constant value for constant external field. For the fields of type 1/rα we find that the aggregates exhibit very complicated, non-trivial scaling behaviours with the control parameter a varying.