Definition of percolation thresholds on self-affine surfaces

S. J. Marrink; Lincoln Paterson; Mark A. Knackstedt

doi:10.1016/S0378-4371(99)00608-1

Definition of percolation thresholds on self-affine surfaces

S. J. Marrink^*, Lincoln Paterson, Mark A. Knackstedt

^*Corresponding author for this work

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

7 Citations (Scopus)

Abstract

We study the percolation transition on a two-dimensional substrate with long-range self-affine correlations. We find that the position of the percolation threshold on a correlated lattice is no longer unique and depends on the spanning rule employed. Numerical results are provided for spanning across the lattice in specified (horizontal or vertical), either or both directions.

Original language	English
Pages (from-to)	207-214
Number of pages	8
Journal	Physica A: Statistical Mechanics and its Applications
Volume	280
Issue number	3
DOIs	https://doi.org/10.1016/S0378-4371(99)00608-1
Publication status	Published - 1 Jun 2000

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title = "Definition of percolation thresholds on self-affine surfaces",

abstract = "We study the percolation transition on a two-dimensional substrate with long-range self-affine correlations. We find that the position of the percolation threshold on a correlated lattice is no longer unique and depends on the spanning rule employed. Numerical results are provided for spanning across the lattice in specified (horizontal or vertical), either or both directions.",

author = "Marrink, {S. J.} and Lincoln Paterson and Knackstedt, {Mark A.}",

year = "2000",

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doi = "10.1016/S0378-4371(99)00608-1",

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T1 - Definition of percolation thresholds on self-affine surfaces

AU - Marrink, S. J.

AU - Paterson, Lincoln

AU - Knackstedt, Mark A.

PY - 2000/6/1

Y1 - 2000/6/1

N2 - We study the percolation transition on a two-dimensional substrate with long-range self-affine correlations. We find that the position of the percolation threshold on a correlated lattice is no longer unique and depends on the spanning rule employed. Numerical results are provided for spanning across the lattice in specified (horizontal or vertical), either or both directions.

AB - We study the percolation transition on a two-dimensional substrate with long-range self-affine correlations. We find that the position of the percolation threshold on a correlated lattice is no longer unique and depends on the spanning rule employed. Numerical results are provided for spanning across the lattice in specified (horizontal or vertical), either or both directions.

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U2 - 10.1016/S0378-4371(99)00608-1

DO - 10.1016/S0378-4371(99)00608-1

M3 - Article

SN - 0378-4371

VL - 280

SP - 207

EP - 214

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 3

ER -

Definition of percolation thresholds on self-affine surfaces

Abstract

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