Statistical thermodynamics of a two-dimensional relativistic gas
Statistical thermodynamics of a two-dimensional relativistic gas
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DOI：
10.1103/physreve.79.031124
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发表时间：
2009-03-01
影响因子：
2.4
通讯作者：
Barati, Mahmood
中科院分区：
文献类型：
--
作者：
Montakhab, Afshin;Ghodrat, Malihe;Barati, Mahmood
本文研究了二维硬盘气体的完全相对论模型。该模型避免了相对论粒子碰撞的一般问题，因此是研究统计热力学中相对论效应的理想系统。我们使用分子动力学模拟研究这个模型，集中在速度分布函数。我们得到了静止坐标系（Gamma）和运动坐标系（Gamma（'））中速度的x和y分量的结果。我们的结果证实了Juttner分布是Maxwell-Boltzmann分布的正确推广。我们获得相同的“温度”参数β为两个帧符合最近的研究有限的一维模型。我们还解决了有争议的话题的温度转换。我们表明，虽然局部热平衡保持在移动框架中，依赖于统计方法，如分布函数或均分定理，最终是不确定的，在决定一个正确的温度变换律（如果有的话）。
In this paper we study a fully relativistic model of a two-dimensional hard-disk gas. This model avoids the general problems associated with relativistic particle collisions and is therefore an ideal system to study relativistic effects in statistical thermodynamics. We study this model using molecular-dynamics simulation, concentrating on the velocity distribution functions. We obtain results for x and y components of velocity in the rest frame (Gamma) as well as the moving frame (Gamma(')). Our results confirm that Juttner distribution is the correct generalization of Maxwell-Boltzmann distribution. We obtain the same "temperature" parameter beta for both frames consistent with a recent study of a limited one-dimensional model. We also address the controversial topic of temperature transformation. We show that while local thermal equilibrium holds in the moving frame, relying on statistical methods such as distribution functions or equipartition theorem are ultimately inconclusive in deciding on a correct temperature transformation law (if any).