论文标题
天体物理学中的新概率分布：IV。相对论麦克斯韦·博尔茨曼分布
New probability distributions in astrophysics: IV. The relativistic Maxwell-Boltzmann distribution
论文作者
论文摘要
分析了两个相对论分布，分析了Maxwell Boltzman（MB）分布：相对论MB和Maxwell-J {ü} ttner（MJ）分布。对于这两个分布，我们以特殊功能得出了归一化的常数，平均值，围绕原点，方差，模式，渐近行为的第二个时刻，平均值作为温度函数的平均值的近似表达式以及温度的倒置表达式作为平均值的函数。在存在磁场和相对论电子的情况下，在同步加速器发射中进行了两种天体物理应用。
Two relativistic distributions which generalizes the Maxwell Boltzman (MB) distribution are analyzed: the relativistic MB and the Maxwell-J{ü}ttner (MJ) distribution. For the two distributions we derived in terms of special functions the constant of normalization, the average value, the second moment about the origin, the variance, the mode, the asymptotic behavior, approximate expressions for the average value as function of the temperature and the connected inverted expressions for the temperature as function of the average value. Two astrophysical applications to the synchrotron emission in presence of the magnetic field and the relativistic electrons are presented.
