1999/03/15 by A. V. Bobylev, Alex Hansen, Bobylev, A. V. +5
Engineering · Mathematics · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Numerical methods in inverse problems #Radiative Heat Transfer Studies #cond-mat
paper · pdf · doi:10.48550/arxiv.cond-mat/9903235
10 pages RevTeX, 1 Postscript figure
arxiv created 1999/03/15 · openalex publication_date 1999/03/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.