关于广义和推广的不确定原理对Jüttner气体影响的注记
A Note on Effects of Generalized and Extended Uncertainty Principles on Jüttner Gas
摘要：
近年来，广义（GUP）和扩展（EUP）测不准原理对Maxwell-Boltzmann分布的影响得到了广泛的研究。然而，在高能量区域，麦克斯韦-玻尔兹曼统计的有效性受到争议，取而代之的是，Jüttner分布被提出作为相对论极限的分布函数。出于这些考虑，在目前的工作中，我们的目标是研究GUP和EUP对服从Jüttner分布的系统的影响。为了实现这一目标，我们提出了一种方法，得到的分布函数，从配分函数和它的关系与热能，最终帮助我们找到相应的能量密度状态。
英文摘要：
In recent years, the implications of the generalized (GUP) and extended (EUP) uncertainty prin-ciples on Maxwell-Boltzmann distribution have been widely investigated. However, at high energy regimes, the validity of Maxwell-Boltzmann statistics is under debate and instead, the Jüttner distribution is proposed as the distribution function in relativistic limit. Motivated by these considerations, in the present work, our aim is to study the effects of GUP and EUP on a system that obeys the Jüttner distribution. To achieve this goal, we address a method to get the distribution function by starting from the partition function and its relation with thermal energy which finally helps us in finding the corresponding energy density states.
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