2016/09/09 by Harukuni Ikeda, Kunimasa Miyazaki, Giulio Biroli · 1 citation
Mathematics · Physics and Astronomy · #Bethe lattice #Coupling (piping) #Critical exponent #Ising model #Lattice (music) #Logarithm #Random Matrices and Applications #Random field #Renormalization group #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Universality (dynamical systems) #cond-mat.dis-nn #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1209/0295-5075/116/56004
8 pages, 7 figures
arxiv created 2016/09/09 · openalex created_date 2016/09/23 · openalex publication_date 2016/12/01 · arxiv updated 2017/01/27 · openalex updated_date 2026/08/05
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.