Polydispersity Effect and Universality of Finite-Size Scaling Function

Hiroshi Watanabe, Satoshi Yukawa, Nobuyasu Ito, Chin Kun Hu, Chai Yu Lin, Wen Jong Ma

研究成果: Article査読

13 被引用数 (Scopus)

抄録

We derive an equation for the existence probability Ep for general percolation problem using an analytical argument based on exponential-decay behaviour of spatial correlation function. It is shown that the finite-size scaling function is well approximated by the error function. The present argument explain why it is universal. We use Monte Carlo simulation to calculate Ep for polydisperse continuum percolation and find that mono- and polydisperse system have the same finite-size scaling function.

本文言語English
ページ(範囲)1537-1542
ページ数6
ジャーナルJournal of the Physical Society of Japan
70
6
DOI
出版ステータスPublished - 2001 6月
外部発表はい

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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