The Fredrickson-Andersen model with random pinning on Bethe lattices and its MCT transitions
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 the 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.
- Publication:
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EPL (Europhysics Letters)
- Pub Date:
- December 2016
- DOI:
- 10.1209/0295-5075/116/56004
- arXiv:
- arXiv:1609.02683
- Bibcode:
- 2016EL....11656004I
- Keywords:
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- Condensed Matter - Disordered Systems and Neural Networks;
- Condensed Matter - Soft Condensed Matter;
- Condensed Matter - Statistical Mechanics
- E-Print:
- 8 pages, 7 figures