Causal, stable first-order viscous relativistic hydrodynamics with ideal gas microphysics
Causal, stable first-order viscous relativistic hydrodynamics with ideal gas microphysics
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DOI：
10.1103/physrevd.106.123036
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发表时间：
2022-09
影响因子：
5
通讯作者：
A. Pandya;E. Most;F. Pretorius
中科院分区：
文献类型：
--
作者：
A. Pandya;E. Most;F. Pretorius
我们提出了第一个因果，稳定的一阶相对论流体动力学与理想气体微观物理学的数值分析，基于Bemfica，Disconzi，Noronha和Kovtun（BDNK理论）开发的形式主义。BDNK方法提供了守恒的应力-能量张量和重子流的定义，并严格证明了运动方程的因果性、局部适定性、强双曲性和线性稳定性（关于平衡），受制于一组涉及待定模型系数的耦合非线性不等式（其选择定义了“流体动力学框架”）。本文提出了一类由相对论性理想气体“伽玛定律“状态方程导出的满足BDNK约束的流体力学框架，并在四维Minkowski时空中通过一系列（0+1）D和（1+1）D的实验研究了所得到的模型的性质.这些测试包括Eckart，BDNK和Muller-Israel-Stewart理论中的耗散机制的比较，以及流体动力框架对Bjorken流，平面激波和热流解的因果关系和稳定性的影响的调查。
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.