Long-range strain correlations in 3D quiescent glass forming liquids

Abstract

We present a quantitative study of strain correlations in quiescent supercooled liquids and glasses. Recent two-dimensional computer simulations and experiments indicate that even supercooled liquids exhibit long-lived, long-range strain correlations. Here we investigate this issue in three dimensions via experiments on hard sphere colloids and molecular dynamics simulations of a glass forming binary Lennard Jones mixture. Both in the glassy state and in the supercooled regime, strain correlations are found to decay with a $1/r^3$ power-law behavior, reminiscent of elastic fields around an inclusion. Moreover, theoretical predictions on the time dependence of the correlation amplitude are in line with the results obtained from experiments and simulations. It is argued that the size of the domain, which exhibits a "solid-like" cooperative strain pattern in a supercooled liquid, is determined by the product of the speed of sound with the structural relaxation time. While this length is of the order of nanometers in the normal liquid state, it grows to macroscale when approaching the glass transition.

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• Probing the degree of heterogeneity within a shear band of a model glass
• Direct Imaging of Contacts and Forces in Colloidal Gels
• Flow heterogeneities in supercooled liquids and glasses under shear
• Stress correlation function and linear response of Brownian particles
• Correlations of tensor field components in isotropic systems with an application to stress correlations in elastic bodies
• Strain correlation functions in isotropic elastic bodies: Large wavelength limit for two-dimensional systems
• A crossover in spatio-temporal correlations of strain fluctuations in glass forming liquids
• Isotropic tensor fields in amorphous solids: Correlation functions of displacement and strain tensor fields