Non-monotonic temperature evolution of dynamic correlations in glass-forming liquids
Walter Kob, Sandalo Roldan-Vargas, Ludovic Berthier

TL;DR
This study uncovers a surprising non-monotonic change in spatial dynamical correlations in glass-forming liquids as temperature varies, revealing a new length scale and a qualitative shift in atomic motions near the mode-coupling temperature.
Contribution
The paper introduces a novel numerical method to detect and quantify spatial correlations, revealing a non-monotonic temperature evolution of dynamical correlations in glass-forming liquids.
Findings
Non-monotonic temperature dependence of spatial dynamical correlations.
Identification of a second, monotonically growing length scale.
A qualitative change in atomic motions near the mode-coupling temperature.
Abstract
The viscosity of glass-forming liquids increases by many orders of magnitude if their temperature is lowered by a mere factor of 2-3 [1,2]. Recent studies suggest that this widespread phenomenon is accompanied by spatially heterogeneous dynamics [3,4], and a growing dynamic correlation length quantifying the extent of correlated particle motion [5-7]. Here we use a novel numerical method to detect and quantify spatial correlations which reveal a surprising non-monotonic temperature evolution of spatial dynamical correlations, accompanied by a second length scale that grows monotonically and has a very different nature. Our results directly unveil a dramatic qualitative change in atomic motions near the mode-coupling crossover temperature [8] which involves no fitting or indirect theoretical interpretation. Our results impose severe new constraints on the theoretical description of the…
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