TY - JOUR
T1 - Monte Carlo Simulations of the Generalized Diffusion Limited Aggregation
AU - Hayakawa, Yoshinori
AU - Kondo, Hiroshi
AU - Matsushita, Mitsugu
PY - 1986/8
Y1 - 1986/8
N2 - Two-dimensional Monte Carlo simulations are performed for the generalized diffusion-limited aggregation (DLA) model which is equivalent to the dielectric breakdown model proposed by Niemeyer et al. It is found that the simulated patterns are self-similar, and the fractal dimensions of these patterns agree well with the theoretical formula, [formula omitted], derived by Matsushita et al., where ds is the spatial dimension, dw the fractal dimension of the random-walker trajectory, and η an exponent contained in the local growth probability at the perimeter site. Further, our simulation results suggest that effect of lattice anisotropy becomes prominent when increasing the exponent η.
AB - Two-dimensional Monte Carlo simulations are performed for the generalized diffusion-limited aggregation (DLA) model which is equivalent to the dielectric breakdown model proposed by Niemeyer et al. It is found that the simulated patterns are self-similar, and the fractal dimensions of these patterns agree well with the theoretical formula, [formula omitted], derived by Matsushita et al., where ds is the spatial dimension, dw the fractal dimension of the random-walker trajectory, and η an exponent contained in the local growth probability at the perimeter site. Further, our simulation results suggest that effect of lattice anisotropy becomes prominent when increasing the exponent η.
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U2 - 10.1143/JPSJ.55.2479
DO - 10.1143/JPSJ.55.2479
M3 - Article
AN - SCOPUS:33748458596
VL - 55
SP - 2479
EP - 2482
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 8
ER -