Kinetic transport in the two-dimensional periodic Lorentz gas

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dc.creatorMarklof, Jens
dc.creatorStrombergsson, Andreas
dc.date2008-04-03
dc.date.accessioned2026-07-07T09:39:11Z
dc.date.available2026-07-07T09:39:11Z
dc.descriptionThe periodic Lorentz gas describes an ensemble of non-interacting point particles in a periodic array of spherical scatterers. We have recently shown that, in the limit of small scatterer density (Boltzmann-Grad limit), the macroscopic dynamics converges to a stochastic process, whose kinetic transport equation is not the linear Boltzmann equation--in contrast to the Lorentz gas with a disordered scatterer configuration. The present paper focuses on the two-dimensional set-up, and reports an explicit, elementary formula for the collision kernel of the transport equation.
dc.description10 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0804.0566
dc.identifierhttp://arxiv.org/abs/0804.0566
dc.identifierNonlinearity 21 (2008) 1413-1422
dc.identifierdoi:10.1088/0951-7715/21/7/001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161076
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subject37A60; 37D50; 82C05; 82C40
dc.titleKinetic transport in the two-dimensional periodic Lorentz gas
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