Critical behavior of rigid-normal elastic and diluted-normal networks

Edgardo Duering*, David J. Bergman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


The transfer matrix evaluation of the elastic constants of random bond honeycomb lattices was applied to mixtures of rigid and normal elastic bonds and to diluted networks. At least three exponents (T ∼ 4, S ∼ 1.3 and T′ ∼ 1.3) are required to describe the critical behavior. Applying finite size scaling ideas we found that the Poisson's ratio is ξ/L dependent (from -1 3 to 0.08) for the rigid-normal elastic network, but it is ξ/L independent for the diluted-normal network. The main features of the scaling theory of random elastic systems are summarized.

Original languageEnglish
Pages (from-to)561-564
Number of pages4
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1
StatePublished - 1 May 1989


FundersFunder number
United States-Israel Binational Science Foundation354185


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