Local equilibrium in planar non interacting particle systems

2020/08/05 by Nándori, Péter, Teolis, Trevor
#Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2008.01986

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.

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