From the Liouville Equation to the Generalized Boltzmann Equation for Magnetotransport in the 2D Lorentz Model |
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| Authors: | A V Bobylev Alex Hansen J Piasecki E H Hauge |
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| Institution: | (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. Ho a 69, PL-00 681 Warsaw, Poland |
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| 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. |
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| Keywords: | kinetic theory non-Markovian effects magnetotransport Lorentz model |
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