We calculate the minimum growth probability for diffusion-limited aggregation (DLA) as a function of the cluster mass M, and find a novel singularity of the form -lnpmin(M)(lnM)y with y2. We interpret this result in terms of a simple model for DLA structure, which is characterized by a hierarchy of self-similar voids separated by channels whose diameter increases slower than the cluster diameter. © 1990 The American Physical Society.

Schwarzer, S., Lee, J., Bunde, A., Havlin, S., Roman, H., Stanley, H. (1990). Minimum growth probability of diffusion-limited aggregates. PHYSICAL REVIEW LETTERS, 65(5), 603-606 [10.1103/PhysRevLett.65.603].

Minimum growth probability of diffusion-limited aggregates

Roman H. E.;
1990

Abstract

We calculate the minimum growth probability for diffusion-limited aggregation (DLA) as a function of the cluster mass M, and find a novel singularity of the form -lnpmin(M)(lnM)y with y2. We interpret this result in terms of a simple model for DLA structure, which is characterized by a hierarchy of self-similar voids separated by channels whose diameter increases slower than the cluster diameter. © 1990 The American Physical Society.
Articolo in rivista - Articolo scientifico
DLA, minimum growth probability, Monte Carlo simulations, hierarchical structure
English
1990
65
5
603
606
none
Schwarzer, S., Lee, J., Bunde, A., Havlin, S., Roman, H., Stanley, H. (1990). Minimum growth probability of diffusion-limited aggregates. PHYSICAL REVIEW LETTERS, 65(5), 603-606 [10.1103/PhysRevLett.65.603].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/326798
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