Study on Laplace Growth and Diffusion Limited Aggregation with Material Properties

2013 ◽  
Vol 703 ◽  
pp. 71-74
Author(s):  
Shou Gang Sui ◽  
Shu Lan Gong ◽  
Tao Wang
Keyword(s):  
Computer Simulation ◽  
Random Walk ◽  
Material Properties ◽  
Material Science ◽  
Diffusion Limited Aggregation ◽  
Fractal Growth ◽  
Diffusion Limited ◽  
Wide Range ◽  
And Diffusion ◽  
Important Significance

The diffused fractal growth has a wide range of applications in material fields, especially the diffusion limited aggregation. As a result, the research of fractal growth has important significance in material science. In this paper, iterative steps are introduced in Laplace's equation based on the meaning of random walk, and computer simulation is used to analysis the influence of steps' change on fractal growth.

scholarly journals Diamond aggregation

2010 ◽  
Vol 149 (2) ◽  
pp. 351-372
Author(s):  
WOUTER KAGER ◽  
LIONEL LEVINE
Keyword(s):  
Random Walk ◽  
Growth Model ◽  
Power Law ◽  
Simple Random Walk ◽  
Internal Diffusion ◽  
Diffusion Limited Aggregation ◽  
Directional Bias ◽  
Model Based ◽  
Diffusion Limited ◽  
Logarithmic Fluctuations

AbstractInternal diffusion-limited aggregation is a growth model based on random walk in ℤd. We study how the shape of the aggregate depends on the law of the underlying walk, focusing on a family of walks in ℤ2 for which the limiting shape is a diamond. Certain of these walks—those with a directional bias toward the origin—have at most logarithmic fluctuations around the limiting shape. This contrasts with the simple random walk, where the limiting shape is a disk and the best known bound on the fluctuations, due to Lawler, is a power law. Our walks enjoy a uniform layering property which simplifies many of the proofs.

Two-dimensional fractal growth by diffusion limited aggregation of copper

1989 ◽  
Vol 140 (4) ◽  
pp. 193-196 ◽  
Author(s):  
A.S. Paranjpe ◽  
Sandhya Bhakay-Tamhane ◽  
M.B. Vasan
Keyword(s):  
Two Dimensional ◽  
Diffusion Limited Aggregation ◽  
Fractal Growth ◽  
Diffusion Limited

scholarly journals SCREENING BEHAVIOR OF THE DIFFUSION-LIMITED AGGREGATION FOR SOME RANDOM WALK PARTICLES

1990 ◽  
Vol 39 (7) ◽  
pp. 19
Author(s):  
WENG JIA-QIANG ◽  
KONG LING-JIANG ◽  
CHEN GUANG-ZHI
Keyword(s):  
Random Walk ◽  
Diffusion Limited Aggregation ◽  
Screening Behavior ◽  
Diffusion Limited

Thin film growth by single and multi-center DLA model: Fractal analysis

2021 ◽  
pp. 2150162
Author(s):  
Xun Zhou ◽  
Min Zhang ◽  
Chaoyong Deng
Keyword(s):  
Fractal Analysis ◽  
Film Growth ◽  
Growth Direction ◽  
Diffusion Limited Aggregation ◽  
Fractal Growth ◽  
Diffusion Limited ◽  
Internal Interaction ◽  
One Step ◽  
Dla Model ◽  
Number Of Particles

A modified Diffusion Limited Aggregation (DLA) model has been established for single and multi-center fractal growth. Number of particles [Formula: see text], size of one step [Formula: see text], deposition probability [Formula: see text], growth direction, and interaction effect are had been take into consideration for fractal analysis. In addition, the effect of internal interaction in multi-center growth have been taken into consideration. Fractal growth morphology shows strong boundary and interaction effects.

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