Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local dynamical heterogeneity in glass formers   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}.

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The categories of this paper are: physics
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
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The categories of this paper are: math
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
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The categories of this paper are: nlin