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arXiv · 1609.02683

The Fredrickson-Andersen model with random pinning on Bethe lattices and its MCT transitions

Harukuni Ikeda·Kunimasa Miyazaki·Giulio Biroli
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Abstract

We investigate the dynamics of the randomly pinned Fredrickson-Andersen model on the Bethe lattice. We find a line of random pinning dynamical transitions whose dynamical critical properties are in the same universality class of the $A_2$ and $A_3$ transitions of Mode Coupling Theory. The $A_3$ behavior appears at the terminal point, where the relaxation becomes logarithmic and the relaxation time diverges exponentially. We explain the critical behavior in terms of self-induced disorder and avalanches, strengthening the relationship discussed in recent works between glassy dynamics and Random Field Ising Model.

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Harukuni Ikeda, Kunimasa Miyazaki, Giulio Biroli. 2016-09-09. The Fredrickson-Andersen model with random pinning on Bethe lattices and its MCT transitions. https://doi.org/10.1209/0295-5075/116/56004

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