On the distribution of free path lengths for the periodic Lorentz gas II
ESAIM: M2AN, 34 6 (2000) 1151-1163
Published online: 2002-04-15
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Kinetic Theory for the Low-Density Lorentz Gas
Jens Marklof and Andreas StrömbergssonMemoirs of the American Mathematical Society 294 (1464) (2024)
https://doi.org/10.1090/memo/1464
On the free path length distribution for linear motion in an n-dimensional box
Samuel Holmin, Pär Kurlberg and Daniel MånssonJournal of Physics A: Mathematical and Theoretical 51 (46) 465201 (2018)
https://doi.org/10.1088/1751-8121/aae5ee
Efficient algorithms for general periodic Lorentz gases in two and three dimensions
Atahualpa S Kraemer, Nikolay Kryukov and David P SandersJournal of Physics A: Mathematical and Theoretical 49 (2) 025001 (2016)
https://doi.org/10.1088/1751-8113/49/2/025001
Superdiffusion in the Periodic Lorentz Gas
Jens Marklof and Bálint TóthCommunications in Mathematical Physics 347 (3) 933 (2016)
https://doi.org/10.1007/s00220-016-2578-y
The free path in a high velocity random flight process associated to a Lorentz gas in an external field
Alexandru Hening, Douglas Rizzolo and Eric WaymanTransactions of the American Mathematical Society, Series B 3 (2) 27 (2016)
https://doi.org/10.1090/btran/11
Free Path Lengths in Quasicrystals
Jens Marklof and Andreas StrömbergssonCommunications in Mathematical Physics 330 (2) 723 (2014)
https://doi.org/10.1007/s00220-014-2011-3
Power-Law Distributions for the Free Path Length in Lorentz Gases
Jens Marklof and Andreas StrömbergssonJournal of Statistical Physics 155 (6) 1072 (2014)
https://doi.org/10.1007/s10955-014-0935-9
Tail Asymptotics of Free Path Lengths for the Periodic Lorentz Process: On Dettmann’s Geometric Conjectures
Péter Nándori, Domokos Szász and Tamás VarjúCommunications in Mathematical Physics 331 (1) 111 (2014)
https://doi.org/10.1007/s00220-014-2086-x
Free Path Lengths in Quasi Crystals
Bernt WennbergJournal of Statistical Physics 147 (5) 981 (2012)
https://doi.org/10.1007/s10955-012-0500-3
Nonlinear Partial Differential Equations
François GolseNonlinear Partial Differential Equations 39 (2012)
https://doi.org/10.1007/978-3-0348-0191-1_2
The Boltzmann-Grad limit of the periodic Lorentz gas
Jens Marklof and Andreas StrömbergssonAnnals of Mathematics 174 (1) 225 (2011)
https://doi.org/10.4007/annals.2011.174.1.7
The Periodic Lorentz Gas in The Boltzmann–Grad Limit: Asymptotic Estimates
Jens Marklof and Andreas StrömbergssonGeometric and Functional Analysis 21 (3) 560 (2011)
https://doi.org/10.1007/s00039-011-0116-9
Homogenization of the Linear Boltzmann Equation in a Domain with a Periodic Distribution of Holes
Etienne Bernard, Emanuele Caglioti and François GolseSIAM Journal on Mathematical Analysis 42 (5) 2082 (2010)
https://doi.org/10.1137/090763755
On the Boltzmann-Grad Limit for the Two Dimensional Periodic Lorentz Gas
Emanuele Caglioti and François GolseJournal of Statistical Physics 141 (2) 264 (2010)
https://doi.org/10.1007/s10955-010-0046-1
The distribution of free path lengths in the periodic Lorentz gas and related lattice point problems
Jens Marklof and Andreas StrömbergssonAnnals of Mathematics 172 (3) 1949 (2010)
https://doi.org/10.4007/annals.2010.172.1949
On the Periodic Lorentz Gas and the Lorentz Kinetic Equation
François GolseAnnales de la Faculté des sciences de Toulouse : Mathématiques 17 (4) 735 (2009)
https://doi.org/10.5802/afst.1200
The Boltzmann–Grad limit of the periodic Lorentz gas in two space dimensions
Emanuele Caglioti and François GolseComptes Rendus. Mathématique 346 (7-8) 477 (2008)
https://doi.org/10.1016/j.crma.2008.01.016
Kinetic transport in the two-dimensional periodic Lorentz gas
Jens Marklof and Andreas StrömbergssonNonlinearity 21 (7) 1413 (2008)
https://doi.org/10.1088/0951-7715/21/7/001
Normal diffusion in crystal structures and higher-dimensional billiard models with gaps
David P. SandersPhysical Review E 78 (6) (2008)
https://doi.org/10.1103/PhysRevE.78.060101
On the derivation of a linear Boltzmann equation from a periodic lattice gas
Valeria Ricci and Bernt WennbergStochastic Processes and their Applications 111 (2) 281 (2004)
https://doi.org/10.1016/j.spa.2004.01.002