共形相对论流体中的定常渐近平衡
Steady asymptotic equilibria in conformal relativistic fluids
摘要:
当我们在激波静止的坐标系中考虑激波时,在任一侧都有一个定常流,它在离开激波的地方收敛到平衡。然而,如果渐近速度高于理论的特征速度,则流体力学无法描述这种流动。我们得到一个精确的解的衰减速率平衡的共形流体在动力学理论下的松弛时间近似,并比较它的两个流体动力学计划,一个占二阶矩的分布函数,从而相当于,在小的偏差从平衡极限,以色列-斯图尔特框架,和另一个占二阶和三阶矩。虽然仍然具有有限的特征速度,但第二种模型是对第一种模型的重大改进。
英文摘要:
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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