Anisotropic spatially heterogeneous dynamics in a model glass-forming binary mixture
Elijah Flenner, Grzegorz Szamel

TL;DR
This paper investigates the anisotropic nature of spatially heterogeneous dynamics in a model glass-forming binary mixture using four-point correlation functions, revealing strong anisotropy especially near the alpha relaxation time.
Contribution
It introduces the analysis of anisotropic four-point correlation functions in glass-forming liquids, highlighting their dependence on angle and time, which was not thoroughly explored before.
Findings
Four-point functions are anisotropic and angle-dependent.
Anisotropy is strongest for times longer than beta relaxation.
Strong anisotropy persists at low temperatures even for small wavevectors.
Abstract
We calculated a four-point correlation function G_4(k,r;t) and the corresponding structure factor S_4(k,q;t) for a model glass-forming binary mixture. These functions measure the spatial correlations of the relaxation of different particles. We found that these four-point functions are anisotropic and depend on the angle between vectors k and r (or q). The anisotropy is the strongest for times somewhat longer than the beta relaxation time but it is quite pronounced even for times comparable to the alpha relaxation time, tau_alpha. At the lowest temperatures S_4(k,q;tau_alpha) is strongly anisotropic even for the smallest wavevector q accessible in our simulation.
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