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arXiv · 1101.3539

Linear Response Theory for Hard and Soft Glassy Materials

Eran Bouchbinder·J. S. Langer
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Abstract

Despite qualitative differences in their underlying physics, both hard and soft glassy materials exhibit almost identical linear rheological behaviors. We show that these nearly universal properties emerge naturally in a shear-transformation-zone (STZ) theory of amorphous plasticity, extended to include a broad distribution of internal thermal-activation barriers. The principal features of this barrier distribution are predicted by nonequilibrium, effective-temperature thermodynamics. Our theoretical loss modulus $G"(ω)$ has a peak at the $α$ relaxation rate, and a power law decay of the form $ω^{-ζ}$ for higher frequencies, in quantitative agreement with experimental data.

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Eran Bouchbinder, J. S. Langer. 2011-01-18. Linear Response Theory for Hard and Soft Glassy Materials. https://doi.org/10.1103/physrevlett.106.148301

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