Related Experiment Video
Updated: Aug 11, 2026

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures
Published on: May 21, 2014
Off-lattice noise reduction and the ultimate scaling of diffusion-limited aggregation in two dimensions
Robin C Ball1, Neill E Bowler, Leonard M Sander
1Department of Physics, University of Warwick, Coventry, CV4 7AL, England.
Abstract:
Off-lattice diffusion-limited aggregation (DLA) clusters grown with different levels of noise reduction are found to be consistent with a simple fractal fixed point. Cluster shapes and their ensemble variation exhibit a dominant slowest correction to scaling, and this also accounts for the apparent "multiscaling" in the DLA mass distribution. We interpret the correction to scaling in terms of renormalized noise. The limiting value of this variable is strikingly small and is dominated by fluctuations in cluster shape. Earlier claims of anomalous scaling in DLA were misled by the slow approach to this small fixed point value.
Related Concept Videos
Trends in Lattice Energy: Ion Size and Charge
Lattice Centering and Coordination Number
Types of Unit Cells
Imagine taking a large number of identical...
Protein Diffusion in the Membrane
Poisson's And Laplace's Equation
Theories of Dissolution: Diffusion Layer Model
This process starts with a thin layer, saturated with the drug, forming at the interface between the solid and liquid. The solute then diffuses from this layer into the main solution. The Noyes-Whitney equation suggests that the rate of dissolution relies on the diffusion...
Unsoundness of Aggregate due to Volume Change

