Diffusion-limited aggregation in channel geometry

TL;DR

This paper presents extensive numerical simulations of diffusion-limited aggregation in two-dimensional channel geometry, showing that the fractal dimension matches the radial case and analyzing the shape of the average cluster.

Contribution

It provides the first detailed comparison of DLA in channel geometry with radial growth, correcting previous claims and analyzing the average conformal map.

Findings

Fractal dimension D = 1.712 ± 0.002 matches radial case

Average cluster shape resembles Saffman-Taylor fingers

Leading correction to scaling is consistent with radial DLA

Abstract

We performed extensive numerical simulation of diffusion-limited aggregation in two dimensional channel geometry. Contrary to earlier claims, the measured fractal dimension D = 1.712 +- 0.002 and its leading correction to scaling are the same as in the radial case. The average cluster, defined as the average conformal map, is similar but not identical to Saffman-Taylor fingers.