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arXiv 1808.04497gr-qc
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相对论动力学理论中的能量-动量张量:多组分混合物输运方程中质心速度的作用

The energy-momentum tensor in relativistic kinetic theory: the role of the center of mass velocity in the transport equations for multicomponent mixtures

A. R. Sagaceta-Mejía, A. Sandoval-Villalbazo, J. H. Mondragón-Suárez

摘要:

本文应用相对论动力学理论研究了相对论多组分混合物的平衡方程,比较了Eckart和Landau-Lifshitz框架下的方法。结果表明,相对于流体的质心的粒子速度的概念是必不可少的,以建立在这两种情况下的能量动量张量的结构。不同的操作定义的质心速度导致包括热量的能量动量张量(粒子/Eckart框架)或严格的相对论贡献的扩散通量(能量/朗道-Lifshitz框架)。这里得到的结果进行了讨论,强调每种方法的物理特性。

英文摘要:

Relativistic kinetic theory is applied to the study of the balance equations for relativistic multicomponent mixtures, comparing the approaches corresponding to Eckart's and Landau-Lifshitz's frames. It is shown that the concept of particle velocity relative to the center of mass of the fluid is essential to establish the structure of the energy-momentum tensor in both cases. Different operational definitions of the center of mass velocity lead either to the inclusion of heat in the energy-momentum tensor (particle/Eckart frame) or to strictly relativistic contributions to the diffusion fluxes (energy/Landau-Lifshitz frame). The results here obtained are discussed emphasizing the physical features regarding each approach.

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