On the statistics of free-path lengths for the periodic Lorentz gas

François Golse

doi:10.1142/9789812704016_0042

On the statistics of free-path lengths for the periodic Lorentz gas

François Golse

Laboratoire de Probabilités et Modèles Aléatoires

Résultats de recherche: Le chapitre dans un livre, un rapport, une anthologie ou une collection › Chapitre › Revue par des pairs

Résumé

Consider the motion of a gas of point particles in a periodic array of spherical obstacles. Collisions involving two or more particles are neglected; only the collisions between the particles and the obstacles are taken into account. This talk reviews some results bearing on the distribution of free-path lengths for these particles, more precisely (1) upper and lower bounds for that distribution in any space dimension, and (2) the asymptotic evaluation of the tail of that distribution in the small obstacle limit, in space dimension two. Applications to kinetic theory are discussed.

langue originale	Anglais
titre	XIVth International Congress on Mathematical Physics
Sous-titre	Lisbon, 28 July - 2 August 2003
Editeur	World Scientific Publishing Co.
Pages	439-446
Nombre de pages	8
ISBN (Electronique)	9789812704016
ISBN (imprimé)	981256201X, 9789812562012
Les DOIs	https://doi.org/10.1142/9789812704016_0042
état	Publié - 1 janv. 2006
Modification externe	Oui

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10.1142/9789812704016_0042

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On the statistics of free-path lengths for the periodic Lorentz gas

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