论文标题
一般的相对论水动力学是否在一般框架中稳定和因果关系,以进行任意相互作用?
Is first-order relativistic hydrodynamics in general frame stable and causal for arbitrary interaction?
论文作者
论文摘要
我们使用一般框架中的梯度扩展技术从微观动力学方程中得出了一阶,稳定和因果关系的流体动力学理论。总体框架是从水力动力场的任意匹配条件中引入的。通过依赖动量的松弛时间近似(MDRTA),在相对论鲍尔茨曼方程中引入了相互作用,该相互作用与保存保护定律的拟议碰撞操作员。我们在这里首次证明,不仅是一般框架选择,而且还必须通过MDRTA捕获的微观相互作用率的动量依赖性对于产生基本的田间校正至关重要,从而导致因果关系和稳定的一阶相对论理论。
We derive a first-order, stable and causal, relativistic hydrodynamic theory from the microscopic kinetic equation using the gradient expansion technique in a general frame. The general frame is introduced from the arbitrary matching conditions for hydrodynamic fields. The interaction is introduced in the relativistic Boltzmann equation through the momentum-dependent relaxation time approximation (MDRTA) with the proposed collision operator that preserves the conservation laws. We demonstrate here for the first time that not only the general frame choice, but also the momentum dependence of microscopic interaction rate, captured through MDRTA, is imperative for producing the essential field corrections that give rise to a causal and stable first-order relativistic theory.