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math.PR2026
Universality in dimension 1 of kinetically constrained lattice gases
Assaf Shapira
Kinetically constrained lattice gases are interacting particle systems with conserved number of particles, having degenerate rates caused by a kinetic constraint. Over the past dec…
math.PR2026
A Thomson-type variational principle for diffusion coefficients
Assaf Shapira
We consider reversible interacting particle systems with conserved number of particles. A standard variational formulation describes the diffusion coefficient of such models as the…
math.PR2026
Hydrodynamic limit of the directed exclusion process
Ellen Saada, Federico Sau, Assaf Shapira
We derive the Euler (hyperbolic) hydrodynamic limit for the directed exclusion process (DEP), a one-dimensional conservative interacting particle system that preserves particle-hol…