We provide extended evidence that mode-coupling theory (MCT) of supercooled
liquids for the \$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 \$F\_13\$
schematic model.
%0 Journal Article
%1 Arenzon2012Microscopic
%A Arenzon, Jeferson J.
%A Sellitto, Mauro
%D 2012
%J The Journal of Chemical Physics
%K a-singularities, mode-coupling-theory, critical-phenomena glasses tricritical-points
%N 8
%P 084501+
%R 10.1063/1.4746695
%T Microscopic models of mode-coupling theory: The Fsub 12 scenario
%U http://dx.doi.org/10.1063/1.4746695
%V 137
%X We provide extended evidence that mode-coupling theory (MCT) of supercooled
liquids for the \$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 \$F\_13\$
schematic model.
@article{Arenzon2012Microscopic,
abstract = {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.},
added-at = {2019-06-10T14:53:09.000+0200},
archiveprefix = {arXiv},
author = {Arenzon, Jeferson J. and Sellitto, Mauro},
biburl = {https://www.bibsonomy.org/bibtex/28b42a3bfbed8506375a6166cd3126e85/nonancourt},
citeulike-article-id = {10838332},
citeulike-linkout-0 = {http://dx.doi.org/10.1063/1.4746695},
citeulike-linkout-1 = {http://arxiv.org/abs/1206.6368},
citeulike-linkout-2 = {http://arxiv.org/pdf/1206.6368},
day = 27,
doi = {10.1063/1.4746695},
eprint = {1206.6368},
interhash = {15abe3d7699e496e5ff55aa48bc50a58},
intrahash = {8b42a3bfbed8506375a6166cd3126e85},
issn = {0021-9606},
journal = {The Journal of Chemical Physics},
keywords = {a-singularities, mode-coupling-theory, critical-phenomena glasses tricritical-points},
month = jun,
number = 8,
pages = {084501+},
posted-at = {2012-07-03 11:34:38},
priority = {2},
timestamp = {2019-08-01T15:37:28.000+0200},
title = {{Microscopic models of mode-coupling theory: The F[sub 12] scenario}},
url = {http://dx.doi.org/10.1063/1.4746695},
volume = 137,
year = 2012
}