Variable size particle probing of the DLA cluster properties

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We develop a technique for probing harmonic measure of the diffusion limited aggregation (DLA) cluster surface with the variable size particle and generate one thousand clusters with 50 million particles using original off-lattice killing-free algorithm. Taking, in sequence, the limit of the vanishing size of the probing particles and then sending the growing cluster size to infinity, we achieve the unprecedented accuracy determining the fractal dimension, D=1.7100(2) crucial to characterization of geometric properties of the DLA clusters.
4 pages, 5 figures

Keywords

Disordered Systems and Neural Networks, Statistical Mechanics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/123256

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0611005
 http://arxiv.org/abs/cond-mat/0611005
 Phys. Rev. E 75 (2007) 010401 (R)
 doi:10.1103/PhysRevE.75.010401

Collections

arXiv