论文标题
卡特多流体理论的稳定性和因果关系
Stability and causality of Carter's multifluid theory
论文作者
论文摘要
研究了稳定性和因果关系，以实现有关卡特多流体理论中平衡的线性扰动。我们的稳定性分析基于以下要求，即在平衡时必须最大化多流体的熵以及环境的熵。这使我们能够计算二次lyapunov功能，其正定性意味着稳定性。此外，我们明确验证了，对于多流体，热力学稳定性意味着线性因果关系。作为一个显着的稳定条件，我们发现夹带矩阵必须始终是积极的确定性，证实了广泛的直觉。
Stability and causality are studied for linear perturbations about equilibrium in Carter's multifluid theory. Our stability analysis is grounded on the requirement that the entropy of the multifluid, plus that of the environment, must be maximised at equilibrium. This allows us to compute a quadratic Lyapunov functional, whose positive definiteness implies stability. Furthermore, we verify explicitly that, also for multifluids, thermodynamic stability implies linear causality. As a notable stability condition, we find that the entrainment matrix must always be positive definite, confirming a widespread intuition.
