Local dynamical heterogeneity in glass formers

Abstract

We study the local dynamical fluctuations in glass-forming models of particles embedded in $d$-dimensional space, in the mean-field limit of $d\to \infty$. Our analytical calculation reveals that single-particle observables, such as squared particle displacements, display divergent fluctuations around the dynamical (or mode-coupling) transition, due to the emergence of nontrivial correlations between displacements along different directions. This effect notably gives rise to a divergent non-Gaussian parameter, ${\alpha }_2$. The $d\to \infty$ local dynamics therefore becomes quite rich upon approaching the glass transition. The finite-$d$ remnant of this phenomenon further provides a long sought-after, first-principle explanation for the growth of ${\alpha }_2$ around the glass transition that is \emph{not based on multi-particle correlations}.

5 pages, 4 figures

References in corpus (11)

• Theoretical perspective on the glass transition and amorphous materials
• The role of local structure in dynamical arrest
• Inhomogeneous Mode-Coupling Theory and Growing Dynamic Length in Supercooled Liquids
• Hiding Quiet Solutions in Random Constraint Satisfaction Problems
• Hopping and the Stokes-Einstein relation breakdown in simple glass formers
• The Localization Transition of the Two-Dimensional Lorentz Model
• Critical dynamics of ballistic and Brownian particles in a heterogeneous environment
• Static replica approach to critical correlations in glassy systems
• On the Dynamics of Liquids in the Large-Dimensional Limit
• Mean-field caging in a random Lorentz gas
• High-dimensional percolation criticality and hints of mean-field-like caging of the random Lorentz gas

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