uu.seUppsala University Publications
Change search
ReferencesLink to record
Permanent link

Direct link
Kinetic transport in the two-dimensional periodic Lorentz gas
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2008 (English)In: Nonlinearity, ISSN 0951-7715, Vol. 21, no 7, 1413-1422 p.Article in journal (Refereed) Published
Abstract [en]

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.
National Category
URN: urn:nbn:se:uu:diva-102664DOI: 10.1088/0951-7715/21/7/001ISI: 000257200400004OAI: oai:DiVA.org:uu-102664DiVA: diva2:216577
Available from: 2009-05-11 Created: 2009-05-11 Last updated: 2009-10-26Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Strömbergsson, Andreas
By organisation
Department of Mathematics
In the same journal

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 178 hits
ReferencesLink to record
Permanent link

Direct link