%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 }