Following the Evolution of Hard Sphere Glasses in Infinite Dimensions under External Perturbations: Compression and Shear Strain

Corrado Rainone, Pierfrancesco Urbani, Hajime Yoshino, and Francesco Zamponi
Phys. Rev. Lett. 114, 015701 – Published 6 January 2015
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Abstract

We consider the adiabatic evolution of glassy states under external perturbations. The formalism we use is very general. Here we use it for 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.

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  • Received 19 July 2014

DOI:https://doi.org/10.1103/PhysRevLett.114.015701

© 2015 American Physical Society

Authors & Affiliations

Corrado Rainone1,2, Pierfrancesco Urbani3, Hajime Yoshino4,5, and Francesco Zamponi1

  • 1LPT, Ecole Normale Supérieure, CNRS UMR 8549, 24 Rue Lhomond, 75005 Paris, France
  • 2Dipartimento di Fisica, Sapienza Università di Roma, P.le A. Moro 2, I-00185 Roma, Italy
  • 3IPhT, CEA/DSM-CNRS/URA 2306, CEA Saclay, F-91191 Gif-sur-Yvette Cedex, France
  • 4Cybermedia Center, Osaka University, Toyonaka, Osaka 560-0043, Japan
  • 5Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan

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Vol. 114, Iss. 1 — 9 January 2015

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