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The Boltzmann-Grad limit of the periodic Lorentz gas
University of Bristol.
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics.
2011 (English)In: Annals of Mathematics, ISSN 0003-486X, E-ISSN 1939-8980, Vol. 174, no 1, 225-298 p.Article in journal (Refereed) Published
Abstract [en]

We study the dynamics of a point particle in a periodic array of spherical scatterers and construct a stochastic process that governs the time evolution for random initial data in the limit of low scatterer density (Boltzmann-Grad limit). A generic path of the limiting process is a piecewise linear curve whose consecutive segments are generated by a Markov process with memory two.

Place, publisher, year, edition, pages
2011. Vol. 174, no 1, 225-298 p.
Keyword [en]
Boltzmann-Grad limit, kinetic transport, linear Boltzmann equation, Lorentz gas
National Category
URN: urn:nbn:se:uu:diva-119734DOI: 10.4007/annals.2011.174.1.7ISI: 000293743700007OAI: oai:DiVA.org:uu-119734DiVA: diva2:300755
Available from: 2010-03-01 Created: 2010-03-01 Last updated: 2015-08-12Bibliographically approved

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Publisher's full texthttp://www.math.uu.se/~astrombe/papers/lorentz-TWO.pdf

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