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Probing surface characteristics of diffusion-limited-aggregation clusters with particles of variable size

A. Yu. Menshutin, L. N. Shchur, and V. M. Vinokur
Phys. Rev. E 75, 010401(R) – Published 31 January 2007

Abstract

We develop a technique for probing the harmonic measure of a diffusion-limited-aggregation (DLA) cluster surface with variable-size particles and generate 1000 clusters with 50×106 particles using an 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 unprecedented accuracy in determining the fractal dimension D=1.7100(2) crucial to the characterization of the geometric properties of DLA clusters.

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  • Received 6 September 2006

DOI:https://doi.org/10.1103/PhysRevE.75.010401

©2007 American Physical Society

Authors & Affiliations

A. Yu. Menshutin1,*, L. N. Shchur1,2, and V. M. Vinokur2

  • 1Landau Institute for Theoretical Physics, 142432 Chernogolovka, Russia
  • 2Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439, USA

  • *Electronic address: may@itp.ac.ru

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Vol. 75, Iss. 1 — January 2007

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