Local equilibrium in planar non interacting particle systems
Mathematical Physics
2020-08-06 v1 Dynamical Systems
math.MP
Abstract
Particles are injected to a large planar rectangle through the boundary. Assuming that the particles move independently from one another and the boundary is also absorbing, we identify a set of abstract conditions which imply the local equilibrium of the particle density in diffusive scaling limit. We verify that our abstract conditions hold in two examples: iid random walks and the periodic Lorentz process.
Cite
@article{arxiv.2008.01986,
title = {Local equilibrium in planar non interacting particle systems},
author = {Péter Nándori and Trevor Teolis},
journal= {arXiv preprint arXiv:2008.01986},
year = {2020}
}