Ourabah Kamel, Ait Gougam Leila, Tribeche Mouloud
Plasma Physics Group, Theoretical Physics Laboratory, Faculty of Physics, University of Bab-Ezzouar,USTHB, B. P. 32, El Alia, Algiers 16111, Algeria.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Jan;91(1):012133. doi: 10.1103/PhysRevE.91.012133. Epub 2015 Jan 20.
We propose to put the well-known nonthermal and suprathermal empirical distributions, used in plasma physics, onto a more rigorous foundation. Their use is frequently criticized because of a lack of formal derivation and physical explanation. A connection between these non-Maxwellian distributions and the Beck-Cohen superstatistics is suggested. They are perceived as a consequence of typical temperature fluctuations. We show that the suprathermal distribution is generated by the Γ distribution of the inverse temperature, in the same way as the Tsallis q statistics. The nonthermal distribution also follows from the χ(2) distribution, with a small variance. Our contribution provides a possible physical meaning for these ad hoc distributions.
我们提议将等离子体物理学中使用的著名非热和超热经验分布建立在更严格的基础上。由于缺乏形式推导和物理解释，它们的使用经常受到批评。有人提出这些非麦克斯韦分布与贝克 - 科恩超统计之间的联系。它们被视为典型温度波动的结果。我们表明，超热分布是由逆温度的Γ分布产生的，与Tsallis q统计的方式相同。非热分布也源于具有小方差的χ(2)分布。我们的贡献为这些特设分布提供了一种可能的物理意义。
