From the Liouville equation to the generalized Boltzmann equation for magnetotransport in the 2D Lorentz model

被引：17

作者：

Bobylev, AV ^{[1
]}

Hansen, A

Piasecki, J

Hauge, EH

机构：

[1] Norwegian Univ Sci & Technol, Dept Phys, N-7491 Trondheim, Norway

[2] Ecole Normale Super Lyon, Phys Lab, F-69364 Lyon 07, France

[3] Univ Warsaw, Inst Theoret Phys, PL-00681 Warsaw, Poland

[4] Karlstad Univ, Dept Engn Sci Phys & Math, S-65188 Karlstad, Sweden

来源：

JOURNAL OF STATISTICAL PHYSICS | 2001年 / 102卷 / 5-6期

关键词：

kinetic theory; non-Markovian effects; magnetotransport; Lorentz model;

D O I：

10.1023/A:1004880010020

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a system of non-interacting charged particles moving in two dimensions among fixed hard scatterers. and acted upon by a perpendicular magnetic field. Recollisions between charged particles and scatterers are unavoidable in this cast. we derive from the Liouville equation Tor this system a generalized Boltzmann equation with infinitely lune memory. but which still is: analytically solvable. This kinetic equation has been earlier written down from intuitive arguments.

引用

页码：1133 / 1150

页数：18

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