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

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
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, E-ISSN 1361-6544, 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
Mathematics
Identifiers
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: 2017-12-13Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Authority records BETA

Strömbergsson, Andreas

Search in DiVA

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

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 437 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf