Dynamic Structure Factor and Single-Length Scaling for Random Fractals

Tsuneyoshi Nakayama; Kousuke Yakubo

doi:10.1143/JPSJ.61.2601

Journal of the Physical Society of Japan

Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015

Dynamic Structure Factor and Single-Length Scaling for Random Fractals

Tsuneyoshi Nakayama, Kousuke Yakubo

著者情報

キーワード: percolation, fractal, fracton, dynamic scaling, dynamic structure factor

ジャーナル認証あり

1992 年 61 巻 8 号 p. 2601-2605

DOI https://doi.org/10.1143/JPSJ.61.2601

詳細

抄録

We compute the dynamic structure factors S(q, ω) for large-scale percolating networks with site numbers of the order of 10⁵, by applying a novel numerical method suitable for an array-processing supercomputer. It is confirmed that the dynamic structure factors are scaled by a single characteristic length Λ(ω). The scaling function h(x), where x=qΛ(ω), behaves as x^3.2 for x>>1, and x^−2.4 for x<<1. These results are argued in terms of a scaling theory for S(q, ω).