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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…
math.PR2025
Hydrodynamics and relaxation limit for multilane exclusion process and related hyperbolic systems
Gideon Amir, Christophe Bahadoran, Ofer Busani +1
We investigate the hydrodynamic behavior and local equilibrium of the multilane exclusion process, whose invariant measures were studied in our previous paper \cite{mlt1a}. The dyn…