Correction to scaling analysis of diffusion-limited aggregation

TL;DR

This paper clarifies that diffusion-limited aggregation follows simple scaling laws, but subdominant terms can explain previous reports of anomalous scaling, especially in multiscaling cases.

Contribution

It demonstrates that apparent anomalous scaling in diffusion-limited aggregation is due to subdominant terms, refining the understanding of its scaling behavior.

Findings

Diffusion-limited aggregation is consistent with simple scaling.

Subdominant terms can explain earlier claims of anomalous scaling.

Multiscaling behavior is analyzed in detail.

Abstract

Diffusion-limited aggregation is consistent with simple scaling. However, strong subdominant terms are present, and these can account for various earlier claims of anomalous scaling. We show this in detail for the case of multiscaling.