Effective-medium theory of percolation on central-force elastic networks

Shechao Feng; M. F. Thorpe; E. Garboczi

doi:10.1103/PhysRevB.31.276

Effective-medium theory of percolation on central-force elastic networks

Shechao Feng, M. F. Thorpe, E. Garboczi

Arizona State University

Research output: Contribution to journal › Article › peer-review

236 Scopus citations

Abstract

We show that effective-medium theory gives an excellent description of regular lattices when nearest-neighbor central-force springs are present with probability p. Effective-medium theory shows that all the elastic constants go to zero at pcen=dpc where d is the dimension and pc is the effective-medium estimate of the ordinary percolation threshold.

Original language	English (US)
Pages (from-to)	276-280
Number of pages	5
Journal	Physical Review B
Volume	31
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevB.31.276
State	Published - Jan 1 1985

ASJC Scopus subject areas

Condensed Matter Physics

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10.1103/PhysRevB.31.276

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abstract = "We show that effective-medium theory gives an excellent description of regular lattices when nearest-neighbor central-force springs are present with probability p. Effective-medium theory shows that all the elastic constants go to zero at pcen=dpc where d is the dimension and pc is the effective-medium estimate of the ordinary percolation threshold.",

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AB - We show that effective-medium theory gives an excellent description of regular lattices when nearest-neighbor central-force springs are present with probability p. Effective-medium theory shows that all the elastic constants go to zero at pcen=dpc where d is the dimension and pc is the effective-medium estimate of the ordinary percolation threshold.

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Effective-medium theory of percolation on central-force elastic networks

Abstract

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