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 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.

8 pages, 7 figures

References in corpus (9)

• Theoretical perspective on the glass transition and amorphous materials
• Glassy dynamics of kinetically constrained models
• Probing the equilibrium dynamics of colloidal hard spheres above the mode-coupling glass transition
• Inhomogeneous Mode-Coupling Theory and Growing Dynamic Length in Supercooled Liquids
• Spontaneous and induced dynamic correlations in glass-formers II: Model calculations and comparison to numerical simulations
• Liquid-glass transition of a fluid confined in a disordered porous matrix: A mode-coupling theory
• The building blocks of dynamical heterogeneities in dense granular media
• Long-wavelength fluctuations lead to a model of the glass crossover
• Microscopic models of mode-coupling theory: the $F_{12}$ scenario

Cited by in corpus (1)

• Mean field theory of the swap Monte Carlo algorithm