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

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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.
10 pages RevTeX, 1 Postscript figure

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Condensed Matter

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http://salesiana.dossiersoluciones.com/handle/123456789/29142

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/9903235
 http://arxiv.org/abs/cond-mat/9903235

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arXiv