论文标题
量子tsallis热力学变量的分析计算
Analytical calculations of the Quantum Tsallis thermodynamic variables
论文作者
论文摘要
在本文中,我们提供了与Tsallis热力学有关的分析结果的说明,这些分析结果是高能碰撞领域的许多研究的主题。在以无质量极限和任意大规模的经典粒子为单位,回顾了经典案例的结果后,我们计算了量子热力学变量。首次获得了大规模玻色子气体的压力的分析公式。因此,本文既是对在该领域收集的知识的简要回顾,又是将现有奖学金转发的原始研究。本文的结果将在高能碰撞领域的大量研究中很重要,包括由夸克 - 胶状等离子体介质内部的高能颗粒产生的非线性波的传播,显示出非扩张性的特征。
In this article, we provide an account of analytical results related to the Tsallis thermodynamics that have been the subject matter of a lot of studies in the field of high-energy collisions. After reviewing the results for the classical case in the massless limit and for arbitrarily massive classical particles, we compute the quantum thermodynamic variables. For the first time, the analytical formula for the pressure of a Tsallis-like gas of massive bosons has been obtained. Hence, this article serves both as a brief review of the knowledge gathered in this area, and as an original research that forwards the existing scholarship. The results of the present paper will be important in a plethora of studies in the field of high-energy collisions including the propagation of non-linear waves generated by the traversal of high-energy particles inside the quark-gluon plasma medium showing the features of non-extensivity.