吉布斯稳定性判据在相对论流体力学中的应用
Applying the Gibbs stability criterion to relativistic hydrodynamics
摘要：
平衡态的稳定性是流体力学理论需要通过的关键检验之一。一个广泛的技术来研究这个属性包括搜索的线性化理论的李雅普诺夫函数，在一个二次能量样的功能的形式。对于相对论性流体，这种泛函的显式表达式通常是通过猜测找到的，缺乏明确的物理解释。我们提出了一个快速，严格和系统的技术，用于构建一个通用的相对论流体理论的泛函，基于最大熵原理。在函数已知的情况下，该方法给出了预期的结果。为了使该方法适用，必须存在具有非负四散度的熵流。这一结果是一个重要的一步，最终解决与相对论耗散有关的主要开放问题。
英文摘要：
The stability of the equilibrium state is one of the crucial tests a hydrodynamic theory needs to pass. A widespread technique to study this property consists of searching for a Lyapunov function of the linearised theory, in the form of a quadratic energy-like functional. For relativistic fluids, the explicit expression of such a functional is often found by guessing and lacks a clear physical interpretation. We present a quick, rigorous and systematic technique for constructing the functional of a generic relativistic fluid theory, based on the maximum entropy principle. The method gives the expected result in those cases in which the functional was already known. For the method to be applicable, there must be an entropy current with non-negative four-divergence. This result is an important step towards a definitive resolution of the major open problems connected with relativistic dissipation.
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