Following the evolution of 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 overshoot 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.

4 pages (3 figures) + 24 pages (5 pages) of appendices

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Cited by in corpus (8)

• Shear yielding and shear jamming of dense hard sphere glasses
• Absence of Marginal Stability in a Structural Glass
• Rejuvenation and Memory Effects in a Structural Glass
• Brittle yielding of amorphous solids at finite shear rates
• Out-of-equilibrium dynamical equations of infinite-dimensional particle systems. II. The anisotropic case under shear strain
• Breakdown of Nonlinear Elasticity in Stress-Controlled Thermal Amorphous Solids
• Calorimetric glass transition in a mean field theory approach
• Devising a protocol-related statistical mechanics framework for granular materials