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math.PR2024
A novel approach to hydrodynamics for long-range generalized exclusion
Patrícia Gonçalves, Julian Kern, Lu Xu
We consider a class of generalized long-range exclusion processes evolving either on or on a finite lattice with an open boundary. The jump rates are given in terms of…
math.PR2024
Incompressible limit for weakly asymmetric simple exclusion processes coupled through collision
Patrick van Meurs, Kenkichi Tsunoda, Lu Xu
We establish the incompressible limit of weakly asymmetric simple exclusion processes coupled through particle collisions. The incompressible limit depends on various parameters in…
math.PR2024
Hydrodynamics for asymmetric simple exclusion on a finite segment with Glauber-type source
Lu Xu, Linjie Zhao
We consider an open interacting particle system on a finite lattice. The particles perform asymmetric simple exclusion and are randomly created or destroyed at all sites, with rate…