TY - JOUR
T1 - Contraction rate of diffusion-limited aggregation
AU - Miyagawa, Y.
AU - Honjo, H.
AU - Katsuragi, H.
N1 - Funding Information:
We would like to thank Professor S. Ohta and Dr. A. Sakamoto for help with the simulations. This work is supported by a Grant-in-Aid for Scientific Research from the Ministry of Education, Culture, Sports, Science and Technology of Japan.
PY - 2002/4
Y1 - 2002/4
N2 - We have simulated off-lattice 2-dimensional diffusion-limited aggregation (DLA) and have made the growth of the DLA discrete by introducing a discrete time, defined as the time when a new longer branch appears for the first time. From our analysis, we have found that the fractal dimension of DLA can be represented by log2/log(3/2) = 1.71. This result implies that the contraction rate of 2-dimensional DLA is 2/3.
AB - We have simulated off-lattice 2-dimensional diffusion-limited aggregation (DLA) and have made the growth of the DLA discrete by introducing a discrete time, defined as the time when a new longer branch appears for the first time. From our analysis, we have found that the fractal dimension of DLA can be represented by log2/log(3/2) = 1.71. This result implies that the contraction rate of 2-dimensional DLA is 2/3.
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U2 - 10.1016/S0022-0248(02)00841-2
DO - 10.1016/S0022-0248(02)00841-2
M3 - Article
AN - SCOPUS:0036538091
VL - 240
SP - 287
EP - 291
JO - Journal of Crystal Growth
JF - Journal of Crystal Growth
SN - 0022-0248
IS - 1-2
ER -