论文标题
相对论辐射流体动力学的多流体建模
Multifluid Modelling of Relativistic Radiation Hydrodynamics
论文作者
论文摘要
散装粘度和热传导的通用理论的表述代表了我们对相对论流体动力学的理解的理论挑战。最近,已经表明,卡特和合作者倡导的多流体变分方法有可能成为相对论耗散系统的一般自然框架。此外,它还允许与非平衡热力学直接接触,从而对该理论元素进行清晰的微观解释。为了提供其普遍适用性的示例,在本文中,我们直接在卡特的多流体理论的背景下直接得出了辐射流体动力学的基本方程。该操作揭示了一组新型的热力学约束,任何微观模型都必须尊重这些约束。然后,我们证明,在某些适当的物理限制下,辐射流体动力学成为用于散装粘度或热传导的多流体模型。
The formulation of a universal theory for bulk viscosity and heat conduction represents a theoretical challenge for our understanding of relativistic fluid dynamics. Recently, it has been shown that the multifluid variational approach championed by Carter and collaborators has the potential to be a general and natural framework to derive (hyperbolic) hydrodynamic equations for relativistic dissipative systems. Furthermore, it also allows to keep direct contact with non-equilibrium thermodynamics, providing a clear microscopic interpretation of the elements of the theory. To provide an example of its universal applicability, in this paper we derive the fundamental equations of the radiation hydrodynamics directly in the context of Carter's multifluid theory. This operation unveils a novel set of thermodynamic constraints that must be respected by any microscopic model. Then, we prove that the radiation hydrodynamics becomes a multifluid model for bulk viscosity or heat conduction in some appropriate physical limits.