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Published on: September 26, 2016
Diffusion-limited deposition with dipolar interactions: fractal dimension and multifractal structure
M Tasinkevych1, J M Tavares, F de Los Santos
1Max-Planck-Institut für Metallforschung, Germany. miko@fluids.mpi-stuttgart.mpg.de
The Journal of Chemical Physics
|February 18, 2006
Summary
Computer simulations reveal that dipole deposits exhibit constant fractal dimensions regardless of dipole strength. Growth probability distributions show multifractal scaling, with increasing dipole strength decreasing minimal exponents and information dimensions.
Area of Science:
- Physics
- Materials Science
- Computational Science
Background:
- Diffusion-limited aggregation (DLA) is a fundamental growth process.
- Dipolar interactions can significantly alter DLA structures.
- Understanding multifractal scaling in growth processes is crucial.
Purpose of the Study:
- To investigate the structural properties of two-dimensional diffusion-limited deposits of dipoles.
- To analyze the impact of dipolar strength on deposit morphology and scaling behavior.
- To characterize the multifractal nature of growth probability distributions.
Main Methods:
- Generating 2D diffusion-limited deposits using computer simulations.
- Analyzing deposit structure via global quantities like density, correlation functions, mean height, and interfacial width.
- Employing Monte Carlo techniques to obtain growth probability measures.
Main Results:
- Fractal dimension of deposits remains constant irrespective of dipolar strength.
- Growth probability distributions exhibit multifractal scaling, characterized by the f(alpha) spectrum.
- For low dipolar strengths, the f(alpha) spectrum resembles that of standard DLA.
- Increasing dipolar strength leads to decreased minimal local growth exponent (alpha_min) and information dimension (D(1)).
Conclusions:
- Dipolar interactions influence the multifractal properties of DLA but not the overall fractal dimension.
- The study provides insights into the complex scaling behavior of dipole-influenced growth processes.
- Results suggest a transition in scaling characteristics with varying dipolar strengths.
