From the Liouville Equation to the Generalized Boltzmann Equation for Magnetotransport in the 2D Lorentz Model期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

From the Liouville Equation to the Generalized Boltzmann Equation for Magnetotransport in the 2D Lorentz Model

Authors:	A. V. Bobylev Alex Hansen J. Piasecki E. H. Hauge

Affiliation:	(1) Department of Physics, Norwegian University of Science and Technology, N-7491 Trondheim, Norway;(2) Laboratoire de Physique de l'Ecole Normale Supérieure de Lyon, F-69364 Lyon Cedex 07, France;(3) Institute of Theoretical Physics, University of Warsaw, ul. Hoa 69, PL-00 681 Warsaw, Poland

Abstract:	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 case. We derive from the Liouville equation for this system a generalized Boltzmann equation with infinitely long memory, but which still is analytically solvable. This kinetic equation has been earlier written down from intuitive arguments.

Keywords:	kinetic theory non-Markovian effects magnetotransport Lorentz model
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