### 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 language | English (US) |
---|---|

Pages (from-to) | 4513-4518 |

Number of pages | 6 |

Journal | Physical Review B |

Volume | 32 |

Issue number | 7 |

DOIs | |

State | Published - 1985 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*Physical Review B*,

*32*(7), 4513-4518. https://doi.org/10.1103/PhysRevB.32.4513

**Density of states for random-central-force elastic networks.** / Garboczi, E. J.; Thorpe, Michael.

Research output: Contribution to journal › Article

*Physical Review B*, vol. 32, no. 7, pp. 4513-4518. https://doi.org/10.1103/PhysRevB.32.4513

}

TY - JOUR

T1 - Density of states for random-central-force elastic networks

AU - Garboczi, E. J.

AU - Thorpe, Michael

PY - 1985

Y1 - 1985

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0001621659&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001621659&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.32.4513

DO - 10.1103/PhysRevB.32.4513

M3 - Article

AN - SCOPUS:0001621659

VL - 32

SP - 4513

EP - 4518

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 7

ER -