Polydispersity Effect and Universality of Finite-Size Scaling Function

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

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1537-1542
Number of pages6
JournalJournal of the Physical Society of Japan
Volume70
Issue number6
DOIs
Publication statusPublished - 2001 Jun
Externally publishedYes

Keywords

  • Continuum percolation
  • Size dispersity
  • Universal finite-size scaling function

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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