A Dramatically Growing Shear Rigidity Length Scale in a Supercooled Glass Former ($NiZ{r}_2$)

Abstract

Finding a suitably growing length scale that increases in tandem with the immense viscous slowdown of supercooled liquids is an open problem associated with the glass transition. Here, we define and demonstrate the existence of one such length scale which may be experimentally verifiable. This is the length scale over which external shear perturbations appreciably penetrate into a liquid as the glass transition is approached. We provide simulation based evidence of its existence, and its growth by at least an order of magnitude, by using molecular dynamics simulations of NiZr2, a good fragile glass former. On the probed timescale, upon approaching the glass transition temperature from above, this length scale, ξ is also shown to be consistent with Ising-like scaling. Furthermore, we demonstrate the possible scaling of ξ about the temperature at which super-Arrhenius growth of viscosity, and a marked growth of the penetration depth sets in. Our simulation results suggest that upon supercooling, marked initial increase of the shear penetration depth in fluids may occur in tandem with the breakdown of the Stokes-Einstein relation.

10 pages, 12 figures;Renamed, Massive Revisions, PRB Accepted

References in corpus (14)

• Theoretical perspective on the glass transition and amorphous materials
• Supercooled Liquids for Pedestrians
• Glassy dynamics of kinetically constrained models
• Roles of icosahedral and crystal-like order in hard spheres glass transition
• Rigorous Inequalities between Length and Time Scales in Glassy Systems
• Probing a critical length scale at the glass transition
• Assessing the role of static lengthscales behind glassy dynamics in polydisperse hard disks
• A locally preferred structure characterises all dynamical regimes of a supercooled liquid
• Critical scaling of icosahedral medium-range order in CuZr metallic glass-forming liquids
• The nature of geometric frustration in the Kob-Andersen mixture
• Liquid elasticity length, universal dynamic crossovers and glass transition
• Local Energy Landscape in a Simple Liquid
• The local atomic packing of a single-component glass is quasi-crystalline
• Thermodynamics, kinetics and fragility of bulk metallic glass forming liquids

Cited by in corpus (1)

• Growing length scale accompanying the vitrification: A perspective based on non-singular density fluctuations