Abstract
The long-time behavior of the velocity distribution of a spatially uniform diluted guest population of charged particles moving within a host medium under the influence of a D.C. electric field is studied within the framework of scattering theory. We prove the existence of wave and scattering operators for a simplified one-dimensional model of the linearized Boltzmann equation. The theory is applied to the study of the long-term behavior of electrons and the occurrence of traveling waves in runaway processes.
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Frosali, G., van der Mee, C.V.M. Scattering theory relevant to the linear transport of particle swarms. J Stat Phys 56, 139–148 (1989). https://doi.org/10.1007/BF01044237
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DOI: https://doi.org/10.1007/BF01044237