论文标题

硬球相对论气体的传输系数

Transport coefficients for hard-sphere relativistic gas

论文作者

Ghodrat, Malihe

论文摘要

传输系数在理论和实验研究中至关重要。尽管对低密度和高密度方案中的经典硬球/磁盘气体的大量研究,但文献中仍缺少对大规模相对论系统的运输系数进行彻底研究。在这项工作中,采用了完全相对论的分子动力学模拟来获得基于Helfand-Einstein表达的硬球相对论气体的转运系数。然后,使用数值数据来检查Chapmann-Enskog(CE)预测的准确性。结果表明,尽管低温状态中的仿真数据与理论预测非常吻合,但随着温度的升高,它开始显示偏差,除了导热率在整个温度范围内非常适合CE理论。由于我们的模拟是在低密度状态下进行的,而CE近似有效,因此观察到的偏差可以归因于极端相对论的情况下线性CE理论的不准确性。

Transport coefficients are of crucial importance in theoretical as well as experimental studies. Despite substantial research on classical hard sphere/disk gases in low and high density regimes, a thorough investigation of transport coefficients for massive relativistic systems is missing in the literature. In this work a fully relativistic molecular dynamics simulation is employed to numerically obtain the transport coefficients of a hard sphere relativistic gas based on Helfand-Einstein expressions. The numerical data are then used to check the accuracy of Chapmann-Enskog (CE) predictions in a wide range of temperature. The results indicate that while simulation data in low temperature regime agrees very well with theoretical predictions, it begins to show deviations as temperature rises, except for the thermal conductivity which fits very well to CE theory in the whole range of temperature. Since our simulations are done in low density regimes, where CE approximation is expected to be valid, the observed deviations can be attributed to the inaccuracy of linear CE theory in extremely relativistic cases.

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