论文标题

保形相对论流体中稳定的渐近平衡

Steady asymptotic equilibria in conformal relativistic fluids

论文作者

Calzetta, Esteban

论文摘要

当人们认为冲击静止的框架中时,两侧的流动稳定流动,远离冲击的平衡。但是,如果渐近速度高于该理论的特征速度,则流体动力学将无法描述这种流程。在放松时间近似下,我们获得了动力学理论中衰变速率的精确解决方案,并将其与两个流体动力方案进行比较,其中一种是分布功能的第二矩,因此在与平衡极限的小偏差中,与以色列 - 斯泰瓦特 - 斯威特 - 斯泰瓦特框架和另一个账目相关的偏差,以及第二次介绍。尽管仍然具有有限的特性速度,但第二个模型在第一个模型上是一个重大改进。

When one considers a shock wave in the frame where the shock is at rest, on either side one has a steady flow which converges to equilibrium away from the shock. However, hydrodynamics is unable to describe this flow if the asymptotic velocity is higher than the characteristic speed of the theory. We obtain an exact solution for the decay rate to equilibrium for a conformal fluid in kinetic theory under the relaxation time approximation, and compare it to two hydrodynamic schemes, one accounting for the second moments of the distribution function and thus equivalent, in the small deviations from equilibrium limit, to an Israel-Stewart framework, and another accounting for both second and third moments. While still having a finite characteristic speed, the second model is a significant improvement on the first.

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