Density of states for random-central-force elastic networks

E. J. Garboczi, M. F. Thorpe

Research output: Contribution to journalArticle

30 Scopus citations

Abstract

Effective-medium theory (EMT) results for the behavior of the elastic properties of random-central-force networks with a fraction p of nearest-neighbor bonds present are extended to finite frequencies. Good agreement with numerical simulations for the density of states at all frequencies is demonstrated. In particular, the gap at 2=0 that opens up when p=p*, and the loss of elastic properties are correctly predicted. The fraction of zero-frequency modes is well described by the EMT and by constraint counting which leads to the same result. The only substantial error is that the EMT does not give Lifshitz tails at the band edges.

Original languageEnglish (US)
Pages (from-to)4513-4518
Number of pages6
JournalPhysical Review B
Volume32
Issue number7
DOIs
StatePublished - Jan 1 1985

ASJC Scopus subject areas

  • Condensed Matter Physics

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