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

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

1999-03-15

arxiv.org/abs/cond-mat/9903235v1

Physics

Condensed Matter

10 pages RevTeX, 1 Postscript figure

Scientific paper

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.

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