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arXiv 1104.0858gr-qccond-mat.stat-mech
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Maxwell-Cattaneo方程与相对论流体中涨落的稳定性

Maxwell-Cattaneo's equation and the stability of fluctuations in the relativistic fluid

D. Brun-Battistini, A. Sandoval-Villalbazo, A. L. Garcia-Perciante

摘要:

扩展理论在描述相对论性流体的文献中被广泛使用。这样做的动机主要是由于一阶理论中据称存在的因果关系问题。然而,当使用一阶理论\emph{that couple heat with acceleration}时,系统中波动的衰减也是危险的。在本文中,它是如何在相对论性流体的一般不稳定性不存在时,麦克斯韦-卡塔内奥型法律引入的流体动力学方程组。强调的事实是,稳定化只是由于热通量弛豫和不稳定性开始的特征时间的差异。这进一步证明了Eckart类似的本构方程是导致一阶系统表现出非物理行为的原因。

英文摘要:

Extended theories are widely used in the literature to describe the relativistic fluid. The motivation for this is mostly due to the causality issues allegedly present in the first order theories. However, the decay of fluctuations in the system is also at stake when first order theories \emph{that couple heat with acceleration} are used. In this paper it is shown how the generic instabilities in relativistic fluids are not present when a Maxwell-Cattaneo type law is introduced in the system of hydrodynamic equations. Emphasis is made on the fact that the stabilization is only due to the difference in characteristic times for heat flux relaxation and instabilities onset. This gives further evidence that Eckart's like constitutive equations are responsible for the first order sytem exhibiting unphysical behavior.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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