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Number of arm selection in two-dimensional diffusion processes.

C I Mendoza¹, G Ramírez-Santiago

¹Departamento de Polímeros, Instituto de Investigaciones en Materiales, Universidad Nacional Autónoma de México, Apdo. Postal 70-360, 04510 México, D.F., Mexico. cmendoza@iim.unam.mx

The European Physical Journal. E, Soft Matter

|February 21, 2009

Summary

This summary is machine-generated.

We developed an algorithm for creating star-branched aggregates. This method reveals a surprising arm selection phenomenon, where a few arms dominate the structure regardless of initial conditions.

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Area of Science:

Colloid and surface science
Computational physics
Materials science

Background:

Diffusion-limited aggregation (DLA) models describe the growth of fractal structures.
Star-branched aggregates are of interest due to their unique properties and potential applications.

Purpose of the Study:

To introduce a novel algorithm for generating two-dimensional diffusion-limited star-branched aggregates (DLSA).
To investigate the structural properties and scaling behavior of these generated aggregates.
To explore the phenomenon of arm selection in DLSA.

Main Methods:

Development of a computational algorithm to simulate DLSA growth.
Sequential attachment of bi-functional monomers to a central colloidal particle.
Characterization using particle-particle correlation functions and analysis of scaling properties.

Main Results:

The algorithm generates indefinitely growing, star-shaped aggregates.
A power-law polydispersity is observed in the arm lengths near the central colloid.
A significant arm selection phenomenon emerges, with a small number of arms defining the structure at larger distances.

Conclusions:

The proposed algorithm successfully generates DLSA with distinct structural characteristics.
The arm selection phenomenon is independent of the initial number of reactive sites and central colloid size.
The fractal dimension of the aggregates was determined through scaling analysis.