We study rigidity percolation transitions in two-dimensional central-force isostatic lattices,
including the square and the kagome lattices, as next-nearest-neighbor bonds (“braces”) are …

We introduce a three-dimensional model for jamming and glasses, and prove that the
fraction of frozen particles is discontinuous at the directed-percolation critical density. In …

Kinetically constrained models are lattice-gas models that are used for describing glassy
systems. By construction, their equilibrium state is trivial and there are no equal-time …

We investigate the relation between the cooperative length and relaxation time, represented,
respectively, by the culling time and the persistence time, in the Fredrickson-Andersen, Kob …

We calculate the corrections to the thermodynamic limit of the critical density for jamming in
the Kob-Andersen and Fredrickson-Andersen kinetically-constrained models, and find them …

We derive expressions for the critical density for jamming in a hyper-rhomboid system of
arbitrary shape in any dimension for the Kob-Andersen and Fredrickson-Andersen …

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We add extreme driving to the Kob-Andersen kinetically constrained lattice-gas model in
order to mimic the effect of gravity on dense granular systems. For low particle densities, the …

Adding transitions to an equilibrium system increases the activity. Naively, one would expect
this to hold also in out-of-equilibrium systems. We demonstrate, using relatively simple …

Rigidity is one of the central themes in soft condensed matter physics. There has been
enduring research interest in understanding rigidity and softness of materials. The purpose …