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

1985; American Physical Society; Volume: 31; Issue: 1 Linguagem: Inglês

10.1103/physrevb.31.276

1095-3795

Shechao Feng, M. F. Thorpe, Edward J. Garboczi,

Stochastic processes and statistical mechanics

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 ${p}_{\mathrm{cen}={\mathrm{dp}}_{c}}$ where d is the dimension and ${p}_{c}$ is the effective-medium estimate of the ordinary percolation threshold.