Laplacian Growth at Reaction Surface
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Laplacian growth at reaction surface is considered to study the effect of surfacereaction on the diffusion-limited aggregation (DEAD. A two-parameter renormalisation-group method is developed to investigate the crossover phenomenon between thereaction-limited aggregation and the diffusion-limited aggregation. The global flowdiagram in the two-parameter space is obtained. it is found that there are two nontrivial fixed points, the Eden point and the DLA point. The Eden point presents thereaction-limited aggregation, The DLA point corresponding to the DLA fractal isstable in all directions, while the Eden point is a saddle point. When the reaction rateis small, the aggregate crosses over from the dense structure on small length scales tothe DLA fractal on large length scales. When the order m of reaction is not equal toone, the concentration of diffusing particles has an important effect upon thecrossover.DLA fractal, laplacian growth, renormalization group, crossover
- 社団法人日本物理学会の論文
- 1990-11-15
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