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Title: Finite-size effects in diffusion-limited aggregation
Authors: Lam, CH 
Issue Date: Sep-1995
Source: Physical review. E, Statistical, nonlinear, and soft matter physics, Sept. 1995, v. 52, no. 3, p. 2841-2847
Abstract: This paper discusses a large variety of numerical results on diffusion-limited aggregation (DLA) to support the view that asymptotically large DLA is self-similar and the scaling of the geometry can be specified by the fractal dimension alone. Deviations from simple scaling observed in many simulations are due to finite-size effects. I explain the relationship between the finite-size effects in various measurements and how they can arise due to a crossover of the noise magnitude in the growth process. Complex scaling hypotheses including anomalous scaling of the width of the growing region, multiscaling of the cluster radial density, infinite drift of the ε-neighborhood filling ratio, nonmultifractal scaling of the growth probability measure, and geometrical multifractality, are shown to lead to physically unacceptable predictions.
Keywords: Aggregation
Diffusion
Fractals
Probability
Random noise
Publisher: American Physical Society
Journal: Physical review. E, Statistical, nonlinear, and soft matter physics 
ISSN: 1539-3755
EISSN: 1550-2376
DOI: 10.1103/PhysRevE.52.2841
Rights: Physical Review E © 1995 The American Physical Society. The Journal's web site is located at http://pre.aps.org/
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