Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Microscopic models of mode-coupling theory: the $F_{12}$ scenario   We provide extended evidence that mode-coupling theory (MCT) of supercooled
liquids for the ${\mathsf F}_{12}$ schematic model admits a microscopic
realization based on facilitated spin models with tunable facilitation.
Depending on the facilitation strength, one observes two distinct dynamic glass
transition lines--continuous and discontinuous--merging at a dynamical
tricritical-like point with critical decay exponents consistently related by
MCT predictions. The mechanisms of dynamical arrest can be naturally
interpreted in geometrical terms: the discontinuous and continuous transitions
correspond to bootstrap and standard percolation processes, in which the
incipient spanning cluster of frozen spins forms either a compact or a fractal
structure, respectively. Our cooperative dynamic facilitation picture of glassy
behavior is complementary to the one based on disordered systems and can
account for higher-order singularity scenarios in the absence of a finite
temperature thermodynamic glass transition. We briefly comment on the relevance
of our results to finite spatial dimensions and to the ${\mathsf F}_{13}$
schematic model.

9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph