Monte Carlo renormalization group study of the percolation problem of discs with a distribution of radii

János Kertész; Tamás Vicsek

doi:10.1007/BF01321871

Monte Carlo renormalization group study of the percolation problem of discs with a distribution of radii

János Kertész^*, Tamás Vicsek

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract (may include machine translation)

A real space renormalization group is formulated for continuum (off-lattice) percolation problems. It is applied to the system of overlapping discs with a variety of distributions of disc radii. Monte Carlo method is used for obtaining recursion relations. The results support universality: The Harris criterion seems to work for percolation. The position of the critical point shows stability against introducing a distribution in the disc radii.

Original language	English
Pages (from-to)	345-350
Number of pages	6
Journal	Zeitschrift für Physik B Condensed Matter
Volume	45
Issue number	4
DOIs	https://doi.org/10.1007/BF01321871
State	Published - Dec 1982
Externally published	Yes

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10.1007/BF01321871

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title = "Monte Carlo renormalization group study of the percolation problem of discs with a distribution of radii",

abstract = "A real space renormalization group is formulated for continuum (off-lattice) percolation problems. It is applied to the system of overlapping discs with a variety of distributions of disc radii. Monte Carlo method is used for obtaining recursion relations. The results support universality: The Harris criterion seems to work for percolation. The position of the critical point shows stability against introducing a distribution in the disc radii.",

author = "J{\'a}nos Kert{\'e}sz and Tam{\'a}s Vicsek",

year = "1982",

month = dec,

doi = "10.1007/BF01321871",

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AU - Kertész, János

AU - Vicsek, Tamás

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N2 - A real space renormalization group is formulated for continuum (off-lattice) percolation problems. It is applied to the system of overlapping discs with a variety of distributions of disc radii. Monte Carlo method is used for obtaining recursion relations. The results support universality: The Harris criterion seems to work for percolation. The position of the critical point shows stability against introducing a distribution in the disc radii.

AB - A real space renormalization group is formulated for continuum (off-lattice) percolation problems. It is applied to the system of overlapping discs with a variety of distributions of disc radii. Monte Carlo method is used for obtaining recursion relations. The results support universality: The Harris criterion seems to work for percolation. The position of the critical point shows stability against introducing a distribution in the disc radii.

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M3 - Article

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JF - Zeitschrift für Physik B Condensed Matter

IS - 4

ER -

Monte Carlo renormalization group study of the percolation problem of discs with a distribution of radii

Abstract (may include machine translation)

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