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- W2063055153 abstract "A Laplacian growth model with the third boundary condition, (1-P)ensuremath{partial}ensuremath{Phi}/ensuremath{partial}n-Pensuremath{Phi}=0, is considered in order to study the effect of the sticking probability of the diffusion-limited aggregation (DLA), where ensuremath{Phi} is the harmonic function satisfying the Laplace equation and ensuremath{partial}ensuremath{Phi}/ensuremath{partial}n the derivative normal to the interface. The crossover from the dense structure to the DLA fractal is investigated by using a two-parameter position-space renormalization-group method. A global flow diagram in two-parameter space is obtained. It is found that there are two nontrivial fixed points, the Eden point and the DLA point. The DLA point corresponding to the DLA fractal is stable in all directions, while the Eden point is a saddle point. When the sticking probability P is not 1, the aggregate must eventually cross over to the DLA fractal. The crossover exponent ensuremath{varphi} and crossover radius ${r}_{ifmmodetimeselsetexttimesfi{}}$ are calculated." @default.
- W2063055153 created "2016-06-24" @default.
- W2063055153 creator A5025105803 @default.
- W2063055153 date "1989-12-01" @default.
- W2063055153 modified "2023-10-16" @default.
- W2063055153 title "Laplacian growth phenomena with the third boundary condition: Crossover from dense structure to diffusion-limited aggregation fractal" @default.
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- W2063055153 doi "https://doi.org/10.1103/physreva.40.7286" @default.
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