Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dimensional Study of the Caging Order Parameter at the Glass Transition   The glass problem is notoriously hard and controversial. Even at the
mean-field level, little is agreed about how a fluid turns sluggish while
exhibiting but unremarkable structural changes. It is clear, however, that the
process involves self-caging, which provides an order parameter for the
transition. It is also broadly assumed that this cage should have a Gaussian
shape in the mean-field limit. Here we show that this ansatz does not hold. By
performing simulations as a function of spatial dimension, we find the cage to
keep a non-trivial form. Quantitative mean-field descriptions of the glass
transition, such as mode-coupling theory, density functional theory, and
replica theory, all miss this crucial element. Although the mean-field random
first-order transition scenario of the glass transition is here qualitatively
supported and non-mean-field corrections are found to remain small on
decreasing dimension, reconsideration of its implementation is needed for it to
result in a coherent description of experimental observations.

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The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex