On the distribution of free path lengths for the periodic Lorentz gas II

François Golse; Bernt Wennberg

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2000)

  • Volume: 34, Issue: 6, page 1151-1163
  • ISSN: 0764-583X

How to cite

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Golse, François, and Wennberg, Bernt. "On the distribution of free path lengths for the periodic Lorentz gas II." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 34.6 (2000): 1151-1163. <http://eudml.org/doc/194031>.

@article{Golse2000,
author = {Golse, François, Wennberg, Bernt},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {kinetic theory; mean free path; Boltzmann-Grad scaling; limiting distribution; linear Boltzmann type transport equation; Boltzmann-Grad limit; periodic Lorentz gas},
language = {eng},
number = {6},
pages = {1151-1163},
publisher = {Dunod},
title = {On the distribution of free path lengths for the periodic Lorentz gas II},
url = {http://eudml.org/doc/194031},
volume = {34},
year = {2000},
}

TY - JOUR
AU - Golse, François
AU - Wennberg, Bernt
TI - On the distribution of free path lengths for the periodic Lorentz gas II
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 2000
PB - Dunod
VL - 34
IS - 6
SP - 1151
EP - 1163
LA - eng
KW - kinetic theory; mean free path; Boltzmann-Grad scaling; limiting distribution; linear Boltzmann type transport equation; Boltzmann-Grad limit; periodic Lorentz gas
UR - http://eudml.org/doc/194031
ER -

References

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  1. [1] C. Boldrighini, L.A. Bunimovich and Ya. G. Sinai, On the Boltzmann equation for the Lorentz gas. J. Statist. Phys. 32 (1983) 477-501. Zbl0583.76092MR725107
  2. [2] J. Bourgain, F. Golse and B. Wennberg, On the distribution of free path lengths for the periodic Lorentz gas. Comm. Math. Phys. 190 (1998) 491-508. Zbl0910.60082MR1600299
  3. [3] L.A. Bunimovich and Ya.G. Sinai, Markov Partitions of Dispersed Billiards. Comm. Math. Phys. 73 (1980) 247-280. Zbl0453.60098MR597749
  4. [4] L.A. Bunimovich and Ya.G. Sinai, Statistical properties of the Lorentz gas with periodic configurations of scatterers. Comm. Math. Phys. 78 (1981) 479-497. Zbl0459.60099MR606459
  5. [5] L.A. Bunimovich, Ya.G. Sinai and N.I. Chernov, Markov partitions for two-dimensional hyperbolic billiards. Russian Math. Surveys 45 (1990) 105-152. Zbl0721.58036MR1071936
  6. [6] L.A. Bunimovich, Ya.G. Sinai and N.L. Chernov, Statistical properties of two-dimensional hyperbolic billiards. Russian Math. Surveys 46 (1991) 47-106. Zbl0780.58029MR1138952
  7. [7] H.S. Dumas, L. Dumas and F. Golse, Remarks on the notion of mean free path for a periodic array of spherical obstacles. J. Statist Phys. 87 (1997) 943-950. Zbl0952.82512MR1459048
  8. [8] G. Gallavotti, Rigorous theory of the Boltzmann equation in the Lorentz gas. Nota Interna No. 358, Istituto di Fisica, Università di Roma (1972). 
  9. [9] F. Golse, Transport dans les milieux composites fortement contrastés. I. Le modèle du billard. Ann. Inst. H. Poincaré Phys. Théor. 61 (1994) 381-410. Zbl0813.35089MR1311536
  10. [10] H. Spohn, The Lorentz flight process converges to a random flight process. Comm. Math. Phys. 60 (1978) 277-290. Zbl0381.60099MR496299

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