期刊
PHYSICAL REVIEW B
卷 83, 期 18, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.83.184205
关键词
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资金
- Swiss National Science Foundation [PBEZP2-131153]
- Swiss National Science Foundation (SNF) [PBEZP2-131153] Funding Source: Swiss National Science Foundation (SNF)
An approximation scheme for model disordered solids is proposed that leads to the fully analytical evaluation of the elastic constants under explicit account of the inhomogeneity (nonaffinity) of the atomic displacements. The theory is in quantitative agreement with simulations for central-force systems and predicts the vanishing of the shear modulus at the isostatic point with the linear law mu similar to (z - 2d), where z is the coordination number. The vanishing of rigidity at the isostatic point is shown to be a consequence of the canceling out of positive affine and negative nonaffine terms.
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