Random walks, diffusion limited aggregation in a wedge, and average conformal maps

Details Random walks, diffusion limited aggregation in a wedge, and average conformal maps Random walks, diffusion limited aggregation in a wedge, and average conformal maps

2005-01-21

arxiv.org/abs/cond-mat/0501537v1

Physics

Condensed Matter

Statistical Mechanics

14 pages, 4 figures. Submitted to Chaos

Scientific paper

10.1063/1.1876932

We investigate diffusion-limited aggregation (DLA) in a wedge geometry. Arneodo and collaborators have suggested that the ensemble average of DLA cluster density should be close to the noise-free selected Saffman-Taylor finger. We show that a different, but related, ensemble average, that of the conformal maps associated with random clusters, yields a non-trivial shape which is also not far from the Saffman-Taylor finger. However, we have previously demonstrated that the same average of DLA in a channel geometry is not the Saffman-Taylor finger. This casts doubt on the idea that the average of noisy diffusion-limited growth is governed by a simple transcription of noise-free results.

Affiliated with

Also associated with

No associations

Rating

Random walks, diffusion limited aggregation in a wedge, and average conformal maps does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Random walks, diffusion limited aggregation in a wedge, and average conformal maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Random walks, diffusion limited aggregation in a wedge, and average conformal maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-279582