Precision calculation of elasticity for percolation

J. G. Zabolitzky; D. J. Bergman; D. Stauffer

doi:10.1007/BF01010913

Precision calculation of elasticity for percolation

J. G. Zabolitzky^*, D. J. Bergman, D. Stauffer

^*Corresponding author for this work

School of Physics and Astronomy

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Abstract

Monte Carlo transfer matrix evaluation of the elastic constants at the percolation threshold of the random-bond honeycomb lattice, with widths of up to 96 and lengths of about two million lattice constants (roughly 200 hours CDC Cyber 205 vector computer time) gave a critical exponent T=3.96±0.04 with a logarithmic correction term. This exponent agrees well with the scaling hypothesis T=t+2v=3.97, relating T to the two-dimensional conductivity exponent.

Original language	English
Pages (from-to)	211-223
Number of pages	13
Journal	Journal of Statistical Physics
Volume	44
Issue number	1-2
DOIs	https://doi.org/10.1007/BF01010913
State	Published - Jul 1986

Keywords

Elasticity
conductivity
critical exponents
percolation

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10.1007/BF01010913

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title = "Precision calculation of elasticity for percolation",

abstract = "Monte Carlo transfer matrix evaluation of the elastic constants at the percolation threshold of the random-bond honeycomb lattice, with widths of up to 96 and lengths of about two million lattice constants (roughly 200 hours CDC Cyber 205 vector computer time) gave a critical exponent T=3.96±0.04 with a logarithmic correction term. This exponent agrees well with the scaling hypothesis T=t+2v=3.97, relating T to the two-dimensional conductivity exponent.",

keywords = "Elasticity, conductivity, critical exponents, percolation",

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AU - Zabolitzky, J. G.

AU - Bergman, D. J.

AU - Stauffer, D.

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N2 - Monte Carlo transfer matrix evaluation of the elastic constants at the percolation threshold of the random-bond honeycomb lattice, with widths of up to 96 and lengths of about two million lattice constants (roughly 200 hours CDC Cyber 205 vector computer time) gave a critical exponent T=3.96±0.04 with a logarithmic correction term. This exponent agrees well with the scaling hypothesis T=t+2v=3.97, relating T to the two-dimensional conductivity exponent.

AB - Monte Carlo transfer matrix evaluation of the elastic constants at the percolation threshold of the random-bond honeycomb lattice, with widths of up to 96 and lengths of about two million lattice constants (roughly 200 hours CDC Cyber 205 vector computer time) gave a critical exponent T=3.96±0.04 with a logarithmic correction term. This exponent agrees well with the scaling hypothesis T=t+2v=3.97, relating T to the two-dimensional conductivity exponent.

KW - Elasticity

KW - conductivity

KW - critical exponents

KW - percolation

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Precision calculation of elasticity for percolation

Abstract

Keywords

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