Polydispersity Effect and Universality of Finite-Size Scaling Function

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

doi:10.1143/JPSJ.70.1537

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 journal › Article › peer-review

2 Citations (Scopus)

Abstract

We derive an equation for the existence probability E_p 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 E_p for polydisperse continuum percolation and find that mono- and polydisperse system have the same finite-size scaling function.

Original language	English
Pages (from-to)	1537-1542
Number of pages	6
Journal	Journal of the Physical Society of Japan
Volume	70
Issue number	6
DOIs	https://doi.org/10.1143/JPSJ.70.1537
Publication status	Published - 2001 Jun
Externally published	Yes

Keywords

Continuum percolation
Size dispersity
Universal finite-size scaling function

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1143/JPSJ.70.1537

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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.",

keywords = "Continuum percolation, Size dispersity, Universal finite-size scaling function",

author = "Hiroshi Watanabe and Satoshi Yukawa and Nobuyasu Ito and Hu, {Chin Kun} and Lin, {Chai Yu} and Ma, {Wen Jong}",

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AU - Watanabe, Hiroshi

AU - Yukawa, Satoshi

AU - Ito, Nobuyasu

AU - Hu, Chin Kun

AU - Lin, Chai Yu

AU - Ma, Wen Jong

PY - 2001/6

Y1 - 2001/6

N2 - 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.

AB - 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.

KW - Continuum percolation

KW - Size dispersity

KW - Universal finite-size scaling function

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JF - Journal of the Physical Society of Japan

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ER -

Polydispersity Effect and Universality of Finite-Size Scaling Function

Abstract

Keywords

ASJC Scopus subject areas

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