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The Fredrickson-Andersen model with random pinning on Bethe lattices and its MCT transitions | | Harukuni Ikeda
; Kunimasa Miyazaki
; Giulio Biroli
; | | Date: |
9 Sep 2016 | | 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. | | Source: | arXiv, 1609.2683 | | Services: | Forum | Review | PDF | Favorites | |
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