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A note on the Fredrickson-Andersen one spin facilitated model in stationarity
Assaf Shapira
This note discusses two problems related to the Fredrickson-Andersen one spin facilitated model in stationarity. The first, considered in 2008 in a paper of Cancrini, Martinelli, R…
Self-Diffusion Coefficient in the Kob-Andersen Model
Anatole Ertul, Assaf Shapira
The Kob-Andersen model is a fundamental example of a kinetically constrained lattice gas, that is, an interacting particle system with Kawasaki type dynamics and kinetic constraint…
Loop-erased random walk as a spin system observable
Tyler Helmuth, Assaf Shapira
The determination of the Hausdorff dimension of the scaling limit of loop-erased random walk is closely related to the study of the one-point function of loop-erased random walk, i…
Time Scales of the Fredrickson-Andersen Model on Polluted and
Assaf Shapira, Erik Slivken
We study the Kinetically Constrained Model on the polluted square lattice, with two-neighbor constraints. For a quenched polluted environment with low pollution density we give bou…
Diffusive scaling of the Kob-Andersen model in
Fabio Martinelli, Assaf Shapira, Cristina Toninelli
We consider the Kob-Andersen model, a cooperative lattice gas with kinetic constraints which has been widely analyzed in the physics literature in connection with the study of the…
Kinetically Constrained Models with Random Constraints
Assaf Shapira
We study two kinetically constrained models in a quenched random environment. The first model is a mixed threshold Fredrickson-Andersen model on , where the update…