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Relativistic Corrections to the Maxwellian Distribution for Astrophysical and Fusion Plasmas
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作者 Amaury de Kertanguy 《Journal of Applied Mathematics and Physics》 2023年第8期2414-2428,共15页
We present calculations and improvement inspired by the work of Lorenzo Zaninetti, published in 2020, it concerns a problem whose origin dates back 1911 with so called Maxwell-Jüttner distribution these lies on t... We present calculations and improvement inspired by the work of Lorenzo Zaninetti, published in 2020, it concerns a problem whose origin dates back 1911 with so called Maxwell-Jüttner distribution these lies on the Lorentz factor , with . This work uses powerful modern software for a reconstruction of Zaninetti work, which computes with special functions, these are included in the Mathematica software, as by instance Bessel and Meijer G-functions ready to manipulate. A progress is made, it is possible to perform an integral that is not computed in Zaninetti paper. This author connects the correct relativistic probability law: the Maxwell-Jüttner to the synchrotron emissivity with a magnetic B field, this work generalize these results, using the linear Stark effect and deals with an electric field E. 展开更多
关键词 Maxwell-Jüttner Distribution Relativity modification to Maxwell law Lorentz Factor Linear Stark Effect Plasma Physics
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