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Following the evolution of metastable glassy states under external perturbations : compression and shear-strain

Abstract : We consider the adiabatic evolution of glassy states under external perturbations. Although the formalism we use is very general, we focus here on infinite-dimensional hard spheres where an exact analysis is possible. We consider perturbations of the boundary, i. e. compression or (volume preserving) shear-strain, and we compute the response of glassy states to such perturbations: pressure and shear-stress. We find that both quantities over shoot before the glass state becomes unstable at a spinodal point where it melts into a liquid (or yields). We also estimate the yield stress of the glass. Finally, we study the stability of the glass basins towards breaking into sub-basins, corresponding to a Gardner transition. We find that close to the dynamical transition, glasses undergo a Gardner transition after an infinitesimal perturbation. We then study the high-pressure and high-strain regime beyond the Gardner transition.
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Corrado Rainone. Following the evolution of metastable glassy states under external perturbations : compression and shear-strain. Physics [physics]. Ecole normale supérieure - ENS PARIS; Università degli studi La Sapienza (Rome), 2015. English. ⟨NNT : 2015ENSU0051⟩. ⟨tel-01999724⟩

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