1 citations · 1 across the 6 of their papers we have counts for
6 papers
Scaling Properties of Current Fluctuations in Periodic TASEP
Anastasiia Trofimova, Lu Xu
We study current fluctuations in the Totally Asymmetric Simple Exclusion Process (TASEP) on a ring with sites and particles. By introducing a deformation parameter , we…
Coupling hydrodynamics of several Facilitated Exclusion Processes with closed boundaries
Hugo Da Cunha, Lu Xu
In this paper, we prove the hydrodynamic limit for the ergodic dynamics of the Facilitated Exclusion Process with closed boundaries in the symmetric, asymmetric and weakly asymmetr…
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…
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…
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…
Scalar conservation law in a bounded domain with strong source at boundary
Lu Xu
We consider a scalar conservation law with source in a bounded open interval . The equation arises from the macroscopic evolution of an interacting particle sy…