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

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.

Concentration Influence on Diffusion Limited Cluster Aggregation

1994 ◽  
Vol 367 ◽  
Author(s):  
ST.C. Pencea ◽  
M. Dumitrascu
Keyword(s):  
Brownian Motion ◽  
Fractal Dimensions ◽  
Simple Random Walk ◽  
Two Dimensional ◽  
Diffusion Limited Aggregation ◽  
Dimensional Lattice ◽  
Cluster Aggregation ◽  
Box Counting ◽  
Diffusion Limited ◽  
Diffusion Limited Cluster Aggregation

AbstractDiffusion-limited cluster aggregation has been simulated on a square two dimensional lattice. In order to simulate the brownian motion, we used both the algorithm proposed initially by Kolb et all. and a new algorithm intermediary between a simple random walk and the ballistic model.The simulation was performed for many values of the concentration, from 1 to 50%. By using a box-counting algorithm one has calculated the fractal dimensions of the obtained clusters. Its increasing vs. concentration has been pointed out. The results were compared with those of the classical diffusion-limited aggregation (DLA).

Two-dimensional growth of germanium under a diffusion limited aggregation environment

2016 ◽  
Vol 13 (1) ◽  
pp. 91-96
Author(s):  
Jaejun Lee ◽  
Sung Wook Kim ◽  
Youn Ho Park ◽  
Jeong Min Park ◽  
Yeon Joo Kim ◽  
...  
Keyword(s):  
Two Dimensional ◽  
Diffusion Limited Aggregation ◽  
Diffusion Limited ◽  
Dimensional Growth

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.

Simulation of Fractal-Like Crystal Growth

1991 ◽  
Vol 46 (1-2) ◽  
pp. 203-205
Author(s):  
Attila Felinger ◽  
Jänos Liszi
Keyword(s):  
Crystal Growth ◽  
Fractal Dimensions ◽  
Stochastic Method ◽  
Square Lattice ◽  
Two Dimensional ◽  
Diffusion Limited Aggregation ◽  
Equilibrium Crystallization ◽  
Diffusion Limited ◽  
Large Clusters ◽  
Small Clusters

AbstractNon-equilibrium crystallization was simulated on a two dimensional square lattice. Several clusters were grown simultaneously by using the model of diffusion limited aggregation. The growing process was reversible, i.e. dissolution of particles from the boundary of any cluster was made possible. The rate of growth and dissolution was determined by a stochastic method. The simulation resulted in an aggregate pattern having a few large and several small clusters. The fractal dimensions of the large clusters were found in the range of D = 1.62-1.72.

POWER LAW RELAXATION OF PERIMETER LENGTH OF FRACTAL AGGREGATES

Fractals ◽  
1996 ◽  
Vol 04 (03) ◽  
pp. 251-256 ◽  
Author(s):  
TOSHIHARU IRISAWA ◽  
MAKIO UWAHA ◽  
YUKIO SAITO
Keyword(s):  
Power Law ◽  
Dimensional Space ◽  
Thermal Relaxation ◽  
Diffusion Control ◽  
Two Dimensional ◽  
Diffusion Limited Aggregation ◽  
Diffusion Limited ◽  
Dimensional Diffusion ◽  
Dimensional Argument ◽  
Lower Cutoff

For a realistic aggregate grown under the diffusion control, the fractal scaling holds between two cutoff lengths. These cutoff lengths often control the dynamics of aggregation and relaxation. During thermal annealing, coarsening of the aggregate structure takes place, and the lower cutoff length increases. When the relaxation is limited by kinetics, we show by a simple dimensional argument that the perimeter length (or area) A of the aggregate shrinks in a power law with time t as A(t) ~ t(d–1–D)/2 in a d-dimensional space, where D is the fractal dimension of the aggregate. This prediction is tested by Monte Carlo simulation of the thermal relaxation of a two-dimensional diffusion-limited aggregation.

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