Anomalous non-linear response of glassy liquids: general arguments and a Mode-Coupling approach

Details Anomalous non-linear response of glassy liquids: general arguments and a Mode-Coupling approach Anomalous non-linear response of glassy liquids: general arguments and a Mode-Coupling approach

2008-12-18

arxiv.org/abs/0812.3514v2

Physics

Condensed Matter

Statistical Mechanics

Accepted for publication in J. Chem. Phys. Detailed calculations can be found in the version v1 of the paper

Scientific paper

We study theoretically the non-linear response properties of glass formers. We establish several general results which, together with the assumption of Time-Temperature Superposition, lead to a relation between the non-linear response and the derivative of the linear response with respect to temperature. Using results from Mode-Coupling Theory (MCT) and scaling arguments valid close to the glass transition, we obtain the frequency and temperature dependence of the non-linear response in the $\alpha$ and $\beta$-regimes. Our results demonstrate that supercooled liquids are characterized by responses to external perturbations that become increasingly non-linear as the glass transition is approached. These results are extended to the case of inhomogeneous perturbing fields.

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