ETH Zürich, Department of Materials, Polymer Physics, CH-8093 Zurich, Switzerland.
Phys Rev E. 2019 Jan;99(1-1):013105. doi: 10.1103/PhysRevE.99.013105.
In relativistic fluid mechanics, positive entropy production is known to be insufficient for guaranteeing stability. Much stronger criteria for thermodynamic admissibility have become available in nonequilibrium thermodynamics. We here perform a linear stability analysis for a model of relativistic hydrodynamics that is based on the general equation for the nonequilibrium reversible-irreversible coupling (GENERIC) framework of nonequilibrium thermodynamics. Assuming a quadratic entropy function near equilibrium, we find stability for the entire range of physically meaningful model parameters for relativistic fluid dynamics based on GENERIC. The search for thermodynamic admissibility moreover reveals a fundamental difference between liquids and gases in relativistic fluid dynamics.
在相对论流体力学中，人们已经知道正的熵产生不足以保证稳定性。在非平衡热力学中，出现了许多对于热力学允许性更强的判据。在这里，我们对基于非平衡热力学的通用非平衡可逆-不可逆耦合（GENERIC）框架的相对论流体动力学模型进行了线性稳定性分析。在平衡附近采用二次熵函数假设，我们发现基于 GENERIC 的相对论流体动力学模型的所有物理上有意义的模型参数范围内都是稳定的。此外，对热力学允许性的研究揭示了相对论流体动力学中液体和气体之间的一个基本区别。
