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Effects of Monomer Size Distribution on the fractal dimensionality of diffusion‐limited aggregates
Author(s) -
Chou Charles C.K.,
Lee ChungTe
Publication year - 1996
Publication title -
particle and particle systems characterization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.877
H-Index - 56
eISSN - 1521-4117
pISSN - 0934-0866
DOI - 10.1002/ppsc.19960130406
Subject(s) - fractal dimension , monomer , multifractal system , dispersity , log normal distribution , fractal , diffusion limited aggregation , statistical physics , curse of dimensionality , mathematics , dimension (graph theory) , diffusion , chemical physics , materials science , combinatorics , chemistry , polymer , thermodynamics , physics , polymer chemistry , statistics , mathematical analysis , composite material
Computer simulations of diffusion‐limited aggregation (DLA) for monomers to investigate the effects of size and of lognormal distribution on the fractal dimensionality of the aggregates were conducted on a two‐dimensional lattice. The results show the DLA clusters posses multifractal characteristics. For clusters consisting of monodisperse monomers, the bifurcation point on the graph of the pair correlation function (PCF) for each cluster is located right at the monomers size under investigation The textural dimension ( D f 1 ) has a stable value of about 1.65, whereas the structural dimension ( D f 2 ) decreased with increase in monomer size. For the cases with monomers in log‐normal distributions, the textural dimension is around 1.67; however, the structural dimension decreases with increasing polydispersity of monomer size.