Analytical solution to a classical slowing-down problem |
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Affiliation: | 1. Aix-Marseille Univ, CNRS, Centrale Marseille, LMA, Marseille, France;2. Centrale Marseille, CNRS, Aix-Marseille Univ, M2P2 UMR 7340, 13451 Marseille Cedex 20, France;3. Aix-Marseille Univ, UMR CNRS 7343, IUSTI, Polytech Marseille, 13453 Marseille Cedex 13, France;1. School of Energy and Environmental Engineering, University of Science & Technology Beijing, Beijing 100083, PR China;2. School of Chemistry, University of St Andrews, St Andrews, Fife KY16 9ST, Scotland, UK;1. School of Mathematics and Physics, University of Science and Technology Beijing, China;2. State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China;1. University of Ljubljana, Faculty of Civil and Geodetic Engineering, Jamova 2, 1000 Ljubljana, Slovenia;2. University of Ljubljana, Faculty of Chemistry and Chemical Technology, Večna pot 113, 1001 Ljubljana, Slovenia;1. School of Environmental Science and Spatial Informatics, China University of Mining and Technology, Xuzhou 221116, China;2. Institute of Space Science, Shandong University, Weihai 264209, China;3. State Key Laboratory of Geo-information Engineering, Xi’an Research Institute of Surveying and Mapping, Xi’an 710054, China;4. Key Laboratory of Aviation Information Technology in Universities of Shandong, Binzhou University, Binzhou 256603, China |
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Abstract: | ![]() A classical spatially homogeneous, time-dependent, slowing-down problem for test particles, interacting like Maxwellian particles with a fixed background of field particles, is solved analytically. Curves representing the relevant distribution function, as a function of the speed for fixed times, are reported and illustrated on physical grounds. |
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