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Universality for Two Dimensional Kinetically Constrained Spin ModelsKinetically constrained models (KCMs) are interacting particle systems introduced in the '80s by condensed matter physicists. These models provide accessible stochastic systems with glassy-type dynamics. The key mechanism behind their complex evolution is dynamical facilitation, embedded via appropriate kinetic constraints. KCMs are tightly related to bootstrap percolation, a widely studied monotone cellular automaton. Recently, KCMs have inspired the construction of quantum spin chains to explore many-body localization in the absence of disorder. I will begin with a short review of KCMs' main features and the behavior of two popular models. Then, I will focus on the KCMs counterpart of the famous “universality problem” for two-dimensional bootstrap percolation. In particular, I will highlight the major new features that emerge for KCMs with respect to bootstrap percolation.Uploaded 06-10-26 Learn more about your ad choices. Visit megaphone.fm/adchoices
