论文标题
理想气体物理学
Causal, stable first-order viscous relativistic hydrodynamics with ideal gas microphysics
论文作者
论文摘要
我们介绍了基于Bemfica，Disconzi，Noronha和Kovtun（BDNK理论）的形式主义（BDNK理论）开发的形式主义的理想气体物理学的因果，稳定的一阶相对论水动力学的首次数值分析。 BDNK方法为保守的应力能量张量和巴属电流提供了定义，并严格证明了因果关系，局部良好的性能，强大的双重性能和线性稳定性和线性稳定性（大约平衡）运动方程，以涉及一组未确定的模型系数（该定义），该方程涉及一组辅助的非线性非平等性（需要）。我们提出了一类从状态的相对论理想气体“伽玛律”方程得出的流体动力框架，该方程满足了BDNK约束，并探索了一系列（0+1）d和（1+1）d测试所得模型的性能。这些测试包括比较ECKART，BDNK和MULLER-ISRAEL-Stewart理论中的耗散机制，以及对流体动力学框架对Bjorken流量，平面冲击波和热流解决方案的因果关系和稳定性的影响的研究。
We present the first numerical analysis of causal, stable first-order relativistic hydrodynamics with ideal gas microphysics, based in the formalism developed by Bemfica, Disconzi, Noronha, and Kovtun (BDNK theory). The BDNK approach provides definitions for the conserved stress-energy tensor and baryon current, and rigorously proves causality, local well-posedness, strong hyperbolicity, and linear stability (about equilibrium) for the equations of motion, subject to a set of coupled nonlinear inequalities involving the undetermined model coefficients (the choice for which defines the "hydrodynamic frame"). We present a class of hydrodynamic frames derived from the relativistic ideal gas "gamma-law" equation of state which satisfy the BDNK constraints, and explore the properties of the resulting model for a series of (0+1)D and (1+1)D tests in 4D Minkowski spacetime. These tests include a comparison of the dissipation mechanisms in Eckart, BDNK, and Muller-Israel-Stewart theories, as well as investigations of the impact of hydrodynamic frame on the causality and stability properties of Bjorken flow, planar shockwave, and heat flow solutions.
