Homogeneous and self-similar diffusion-limited aggregation including surface-diffusion processes

Shonosuke Ohta, Haruo Honjo

    Research output: Contribution to journalArticlepeer-review

    12 Citations (Scopus)

    Abstract

    Growth features of aggregates including surface-diffusion processes are studied by Monte Carlo simulations on a two-dimensional square lattice. A dendritic pattern with thick branches changes its anisotropy from the 10 direction to 11 depending on the surface-diffusion mechanism. A homogeneous diffusion-limited-aggregation (DLA) pattern with a fractal dimension of df=1.7160.003 grows in the crossover domain between two anisotropies. Results indicate that a random tip-splitting process arising from noise is necessary to hold its homogeneity and self-similarity. Such processes in other DLA patterns and in a dense radial-like pattern obtained from altered simulations are also investigated.

    Original languageEnglish
    Pages (from-to)8425-8428
    Number of pages4
    JournalPhysical Review A
    Volume44
    Issue number12
    DOIs
    Publication statusPublished - Jan 1 1991

    All Science Journal Classification (ASJC) codes

    • Atomic and Molecular Physics, and Optics

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