New series expansion data for surface and bulk resistivity and conductivity in two-dimensional percolation

J. W. Essam; T. Lookman; K. De'Bell

doi:10.1088/0305-4470/29/6/002

New series expansion data for surface and bulk resistivity and conductivity in two-dimensional percolation

J. W. Essam
, T. Lookman
, K. De'Bell

Royal Holloway University of London
Western University
Trent University

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

Low-density series expansions are obtained for random resistor networks. The expansions are obtained on the square lattice to order 18 and on the triangular lattice to order 14. Bulk and surface expansions are given for both resistive and conductive susceptibilities. The balance of the evidence obtained from analysing these series is in favour of the value ζ_R = 1.32 ± 0.02 for the critical exponent of the resistance scale and supports the existence of only a single such scale for bulk and surface susceptibilities. This value is in agreement with earlier Monte Carlo work.

源语言	英语
页（从-至）	L143-L150
期刊	Journal of Physics A: Mathematical and General
卷	29
期	6
DOI	https://doi.org/10.1088/0305-4470/29/6/002
出版状态	已出版 - 1996
已对外发布	是

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abstract = "Low-density series expansions are obtained for random resistor networks. The expansions are obtained on the square lattice to order 18 and on the triangular lattice to order 14. Bulk and surface expansions are given for both resistive and conductive susceptibilities. The balance of the evidence obtained from analysing these series is in favour of the value ζR = 1.32 ± 0.02 for the critical exponent of the resistance scale and supports the existence of only a single such scale for bulk and surface susceptibilities. This value is in agreement with earlier Monte Carlo work.",

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AU - Essam, J. W.

AU - Lookman, T.

AU - De'Bell, K.

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Y1 - 1996

N2 - Low-density series expansions are obtained for random resistor networks. The expansions are obtained on the square lattice to order 18 and on the triangular lattice to order 14. Bulk and surface expansions are given for both resistive and conductive susceptibilities. The balance of the evidence obtained from analysing these series is in favour of the value ζR = 1.32 ± 0.02 for the critical exponent of the resistance scale and supports the existence of only a single such scale for bulk and surface susceptibilities. This value is in agreement with earlier Monte Carlo work.

AB - Low-density series expansions are obtained for random resistor networks. The expansions are obtained on the square lattice to order 18 and on the triangular lattice to order 14. Bulk and surface expansions are given for both resistive and conductive susceptibilities. The balance of the evidence obtained from analysing these series is in favour of the value ζR = 1.32 ± 0.02 for the critical exponent of the resistance scale and supports the existence of only a single such scale for bulk and surface susceptibilities. This value is in agreement with earlier Monte Carlo work.

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ER -

New series expansion data for surface and bulk resistivity and conductivity in two-dimensional percolation

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