Scaling and crossovers in diffusion aggregation

Citation
E. Somfai et al., Scaling and crossovers in diffusion aggregation, PHYS REV L, 83(26), 1999, pp. 5523-5526
Citations number
14
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
83
Issue
26
Year of publication
1999
Pages
5523 - 5526
Database
ISI
SICI code
0031-9007(199912)83:26<5523:SACIDA>2.0.ZU;2-5
Abstract
We discuss the scaling of characteristic lengths in diffusion limited aggre gation clusters in light of recent developments using conformal maps. We ar e led-to the:conjecture that the apparently anomalous scaling of lengths is due to one slow crossover. This is supported by an analytical argument for the scaling of the penetration depth of newly arrived random walkers, and by numerical evidence on the Laurent coefficients which uniquely determine each cluster. We find common crossover behavior for the squares of the char acteristic lengths and the penetration depth of the form N-2/D(alpha + beta N-phi) With phi in the range -0.3 +/- 0.1 suggesting that there is a singl e: dominant correction to scaling.