论文标题

相对论液体:通用还是EIT?

Relativistic Liquids: GENERIC or EIT?

论文作者

Gavassino, Lorenzo, Antonelli, Marco

论文摘要

我们研究了由Ottinger和合作者制定的相对论液体的通用流体动力学理论。我们使用最大熵原理来得出其线性稳定性的条件(在任意参考框架中)和相对论因果关系。此外,我们表明,在线性方程式中,其场方程可以被重塑为一种对称的纤维状形式。一旦以这种方式重写,线性化场方程将成为以色列 - 史图尔特理论的特殊实现,其中某些以色列 - 斯图尔特自由参数受到限制。这也使我们可以根据扩展不可逆的热力学(EIT)的原理重新解释通用框架,并讨论其与模型(可能是粘弹性)流体的物理相关性。

We study the GENERIC hydrodynamic theory for relativistic liquids formulated by Ottinger and collaborators. We use the maximum entropy principle to derive its conditions for linear stability (in an arbitrary reference frame) and for relativistic causality. In addition, we show that, in the linear regime, its field equations can be recast into a symmetric-hyperbolic form. Once rewritten in this way, the linearised field equations turn out to be a particular realization of the Israel-Stewart theory, where some of the Israel-Stewart free parameters are constrained. This also allows us to reinterpret the GENERIC framework in view of the principles of Extended Irreversible Thermodynamics (EIT) and to discuss its physical relevance to model (possibly viscoelastic) fluids.

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