Volume 116, Number 5, December 2016
|Number of page(s)||6|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||19 January 2017|
The Fredrickson-Andersen model with random pinning on Bethe lattices and its MCT transitions
1 Department of Physics, Nagoya University - Nagoya 464-8602, Japan
2 IPhT, CEA/DSM-CNRS/URA 2306, CEA Saclay - F-91191 Gif-sur-Yvette Cedex, France
3 Laboratoire de Physique Statistique, Ecole Normale Supérieure, PSL Research University 24 rue Lhomond, 75005 Paris, France
Received: 4 October 2016
Accepted: 2 January 2017
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 A2 and A3 transitions of the mode coupling theory. The A3 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.
PACS: 64.70.Q- – Theory and modeling of the glass transition / 05.20.-y – Classical statistical mechanics / 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.)
© EPLA, 2016
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