3 papers
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.DS2023
Hölder regularity for the trajectories of generalized charged particles in 1D
Thomas Geert de Jong, Patrick van Meurs
We prove Hölder regularity for the trajectories of an interacting particle system. The particle velocities are given by the nonlocal and singular interactions with the other partic…
math.AP2023
Discrete-to-continuum limits of interacting particle systems in one dimension with collisions
Patrick van Meurs
We study a class of interacting particle systems in which signed particles move on the real line. At close range particles with the same sign repel and particles with opposite…