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Non-Markovianity of the Boltzmann-Grad limit of a system of random obstacles in a given force field

  • Published:2004-01 Issue:1 Volume:128 Page:39-46
  • ISSN:0007-4497
  • Container-title:Bulletin des Sciences Mathématiques
  • language:en
  • Short-container-title:Bulletin des Sciences Mathématiques

Author:

Desvillettes L.,Ricci V.

Publisher

Elsevier BV

Subject

General Mathematics

Reference7 articles.

1. On the Boltzmann equation for the Lorentz gas;Boldrighini;J. Stat. Phys.,1983

2. From the Liouville equation to the generalized Boltzmann equation for magnetotransport in the 2D Lorentz model;Bobylev;J. Stat. Phys.,2001

3. On the distribution of free path lengths for the periodic Lorentz gas;Bourgain;Commun. Math. Phys.,1998

4. G. Gallavotti, Rigorous theory of the Boltzmann equation in the Lorentz gas, Nota interna n. 358, Istituto di Fisica, Universitá di Roma, 1973

5. Magneto-transport in the two-dimensional Lorentz gas;Kuzmany;Phys. Rev. E,1998

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1. Kinetic Theory for the Low-Density Lorentz Gas;Memoirs of the American Mathematical Society;2024-02

2. Two-dimensional Lorentz process for magnetotransport: Boltzmann-Grad limit;Annales de l'Institut Henri Poincaré, Probabilités et Statistiques;2022-05-01

3. The free path in a high velocity random flight process associated to a Lorentz gas in an external field;Transactions of the American Mathematical Society, Series B;2016-05-24

4. Derivation of the Linear Landau Equation and Linear Boltzmann Equation from the Lorentz Model with Magnetic Field;Journal of Statistical Physics;2016-02-01

5. Large Number Asymptotics for Two-Component Systems with Self-Consistent Coupling;Springer Proceedings in Mathematics & Statistics;2014
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