Lecturer: Dr. Yair Shokef
Affiliation: School of Mechanical Engineering
Tel-Aviv University
Abstract:
Kinetically-constrained lattice models have
trivial interactions and relatively simple kinetic
rules, which generate clusters of mutually-
blocked particles, and thus lead to cooperative
and slow relaxation; and ultimately to jamming
when the typical size of these clusters exceeds
the system size. In this talk I will present our
combined analytical and numerical efforts to
understand the jamming transition in two
scenarios: One is jamming in confined
geometries of traditional kinetically-
constrained models. These map to bootstrap
percolation problems, where system size and
shape play a major role. The second is models
which map onto directed percolation problems
by having kinetic constraints that depend on
the relative orientation of neighboring
particles, and thus jam even in the
thermodynamic limit.