Precision calculation of elasticity for percolation

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

81 Scopus citations

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 languageEnglish
Pages (from-to)211-223
Number of pages13
JournalJournal of Statistical Physics
Volume44
Issue number1-2
DOIs
StatePublished - Jul 1986

Keywords

  • Elasticity
  • conductivity
  • critical exponents
  • percolation

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