The Boltzmann-Grad limit of the periodic Lorentz gas in two space dimensions

Emanuele Caglioti; François Golse

doi:10.1016/j.crma.2008.01.016

The Boltzmann-Grad limit of the periodic Lorentz gas in two space dimensions

Emanuele Caglioti
, François Golse

University of Rome

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

The periodic Lorentz gas is the dynamical system corresponding to the free motion of a point particle in a periodic system of fixed spherical obstacles of radius r centered at the integer points of the Euclidian plane, assuming all collisions of the particle with the obstacles to be elastic. In this Note, we study this motion on time intervals of order 1 / r as r → 0⁺. To cite this article: E. Caglioti, F. Golse, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

langue originale	Anglais
Pages (de - à)	477-482
Nombre de pages	6
journal	Comptes Rendus Mathematique
Volume	346
Numéro de publication	7-8
Les DOIs	https://doi.org/10.1016/j.crma.2008.01.016
état	Publié - 1 janv. 2008

Accès au document

10.1016/j.crma.2008.01.016

Contient cette citation

@article{9b632e50713a4a709b6487f35be33e31,

title = "The Boltzmann-Grad limit of the periodic Lorentz gas in two space dimensions",

abstract = "The periodic Lorentz gas is the dynamical system corresponding to the free motion of a point particle in a periodic system of fixed spherical obstacles of radius r centered at the integer points of the Euclidian plane, assuming all collisions of the particle with the obstacles to be elastic. In this Note, we study this motion on time intervals of order 1 / r as r → 0+. To cite this article: E. Caglioti, F. Golse, C. R. Acad. Sci. Paris, Ser. I 346 (2008).",

author = "Emanuele Caglioti and Fran{\c c}ois Golse",

year = "2008",

month = jan,

day = "1",

doi = "10.1016/j.crma.2008.01.016",

language = "English",

volume = "346",

pages = "477--482",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

number = "7-8",

}

TY - JOUR

T1 - The Boltzmann-Grad limit of the periodic Lorentz gas in two space dimensions

AU - Caglioti, Emanuele

AU - Golse, François

PY - 2008/1/1

Y1 - 2008/1/1

N2 - The periodic Lorentz gas is the dynamical system corresponding to the free motion of a point particle in a periodic system of fixed spherical obstacles of radius r centered at the integer points of the Euclidian plane, assuming all collisions of the particle with the obstacles to be elastic. In this Note, we study this motion on time intervals of order 1 / r as r → 0+. To cite this article: E. Caglioti, F. Golse, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

AB - The periodic Lorentz gas is the dynamical system corresponding to the free motion of a point particle in a periodic system of fixed spherical obstacles of radius r centered at the integer points of the Euclidian plane, assuming all collisions of the particle with the obstacles to be elastic. In this Note, we study this motion on time intervals of order 1 / r as r → 0+. To cite this article: E. Caglioti, F. Golse, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

U2 - 10.1016/j.crma.2008.01.016

DO - 10.1016/j.crma.2008.01.016

M3 - Article

AN - SCOPUS:41849111586

SN - 1631-073X

VL - 346

SP - 477

EP - 482

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 7-8

ER -

The Boltzmann-Grad limit of the periodic Lorentz gas in two space dimensions

Résumé

Accès au document

Empreinte digitale

Contient cette citation