Rainone Corrado, Urbani Pierfrancesco, Yoshino Hajime, Zamponi Francesco
LPT, Ecole Normale Supérieure, CNRS UMR 8549, 24 Rue Lhomond, 75005 Paris, France and Dipartimento di Fisica, Sapienza Università di Roma, P.le A. Moro 2, I-00185 Roma, Italy.
IPhT, CEA/DSM-CNRS/URA 2306, CEA Saclay, F-91191 Gif-sur-Yvette Cedex, France.
Phys Rev Lett. 2015 Jan 9;114(1):015701. doi: 10.1103/PhysRevLett.114.015701. Epub 2015 Jan 6.
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.
我们考虑玻璃态在外部扰动下的绝热演化。我们所使用的形式体系非常通用。在此，我们将其应用于无限维硬球体系，在该体系中可以进行精确分析。我们考虑边界扰动，即压缩或（体积保持不变的）剪切应变，并计算玻璃态对此类扰动的响应：压力和剪应力。我们发现，在玻璃态在旋节线点变得不稳定并熔化为液体（或屈服）之前，这两个量都会出现过冲现象。我们还估算了玻璃的屈服应力。最后，我们研究玻璃盆状结构向子盆状结构破裂的稳定性，这对应于一次加德纳转变。我们发现，在接近动力学转变时，玻璃在受到极小扰动后会经历一次加德纳转变。
