Kinetic transport in the two-dimensional periodic Lorentz gas
2008 (English)In: Nonlinearity, ISSN 0951-7715, Vol. 21, no 7, 1413-1422 p.Article in journal (Refereed) Published
The 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. This paper focuses on the two-dimensional set-up and reports an explicit, elementary formula for the collision kernel of the transport equation.
Place, publisher, year, edition, pages
2008. Vol. 21, no 7, 1413-1422 p.
IdentifiersURN: urn:nbn:se:uu:diva-102664DOI: 10.1088/0951-7715/21/7/001ISI: 000257200400004OAI: oai:DiVA.org:uu-102664DiVA: diva2:216577