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Computer simulation of diffusion-limited cluster-cluster aggregation with an Epstein drag force.

F Pierce¹, C M Sorensen, A Chakrabarti

¹Department of Physics, Kansas State University, Manhattan, Kansas 66506, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|October 10, 2006

Summary

This study explores particle aggregation dynamics in the Epstein regime, revealing fractal dimensions similar to continuum models but a lower kinetic exponent. Findings advance understanding of particle interactions in slip-surface conditions.

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Area of Science:

Physics
Physical Chemistry
Materials Science

Background:

Particle motion in a medium can be ballistic or diffusive.
Diffusive regimes include continuum (Stokes-Einstein) and Epstein (slip-surface).
Epstein regime diffusion involves frictional coefficients proportional to particle cross-sectional area.

Purpose of the Study:

To investigate dilute-limit cluster-cluster aggregation dynamics in the Epstein regime.
To analyze particle motion based on cross-sectional area in simulations.
To understand the impact of slip-surface boundary conditions on aggregation.

Main Methods:

Monte Carlo simulations were employed for low volume fraction cluster-cluster aggregation.
Simulations focused on the Epstein regime with particle motion governed by cross-sectional area.
Analysis included fractal dimension, kinetic exponent, and cluster size distribution scaling.

Main Results:

Aggregates in the Epstein regime exhibit a fractal dimension of approximately 1.8.
The kinetic exponent (z) in the Epstein regime is approximately 0.8, lower than continuum DLCA (z=1) and ballistic aggregation (z≈2).
Cluster size distribution data scale consistently with kinetic findings.

Conclusions:

Epstein regime aggregation shares fractal characteristics with continuum DLCA but differs kinetically.
A scaling argument accurately predicts kinetic exponents and kernel homogeneity across various conditions.
The study provides insights into particle aggregation under slip-surface conditions.