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25 April 2024
 
  » arxiv » 0812.3514

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Anomalous non-linear response of glassy liquids: general arguments and a Mode-Coupling approach
Marco Tarzia ; Giulio Biroli ; Jean-Philippe Bouchaud ; Alexandre Lefèvre ;
Date 18 Dec 2008
AbstractWe 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 $eta$-regimes. These results are extended to the case of inhomogeneous perturbing fields and confirmed by an exact analysis of the non-linear response of the spherical p-spin model.
Source arXiv, 0812.3514
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