Growth and forms of Laplacian aggregates

Abstract

The shapes and general morphological properties of aggregates grown following the 'T/ rule (Vsurface ex IEI") [L. Niemeyer, L. Pietronero, and H. J. Wiessmann, Phys. Rev. Lett. 52, 1033 (1984)] have been investigated. Vsurface is the velocity at the interface and E the electric field. The fractal dimension decreases monotonically from its diffusion-limited aggregation value ('T/ = 1) to a number indistinguishable from 1 at 'T/ ~ 4. Simultaneously, the multifractal properties become independent of'T/. An alternative method to generate large clusters, and gain insight into the growth process, is also presented. Various analytical approximations are discussed. PACS number(s): 82.20.Wt, 75.10.Jm, 75.10.Lp, 75.30.Ds