Constraint theory, vector percolation and glass formation

J. C. Phillips; M. F. Thorpe

doi:10.1016/0038-1098(85)90381-3

Constraint theory, vector percolation and glass formation

J. C. Phillips, M. F. Thorpe

Arizona State University

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

678 Scopus citations

Abstract

We connect the Phillips constraint theory of glass formation to numerical simulations of vector percolation with nearest neighbor central forces. Feng and Sen have shown that the addition of bond-bending forces shifts the vector percolation threshold to the scalar value in two dimensions. Using constraint theory we show that in the mean-field approximation for d > 2 the correct non-central vector threshold lies between the scalar and central vector thresholds. For a fully equilibrated statically disordered network mean-field theory may be almost exact.

Original language	English (US)
Pages (from-to)	699-702
Number of pages	4
Journal	Solid State Communications
Volume	53
Issue number	8
DOIs	https://doi.org/10.1016/0038-1098(85)90381-3
State	Published - Feb 1985

ASJC Scopus subject areas

Chemistry(all)
Condensed Matter Physics
Materials Chemistry

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10.1016/0038-1098(85)90381-3

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abstract = "We connect the Phillips constraint theory of glass formation to numerical simulations of vector percolation with nearest neighbor central forces. Feng and Sen have shown that the addition of bond-bending forces shifts the vector percolation threshold to the scalar value in two dimensions. Using constraint theory we show that in the mean-field approximation for d > 2 the correct non-central vector threshold lies between the scalar and central vector thresholds. For a fully equilibrated statically disordered network mean-field theory may be almost exact.",

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AB - We connect the Phillips constraint theory of glass formation to numerical simulations of vector percolation with nearest neighbor central forces. Feng and Sen have shown that the addition of bond-bending forces shifts the vector percolation threshold to the scalar value in two dimensions. Using constraint theory we show that in the mean-field approximation for d > 2 the correct non-central vector threshold lies between the scalar and central vector thresholds. For a fully equilibrated statically disordered network mean-field theory may be almost exact.

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Constraint theory, vector percolation and glass formation

Abstract

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