Abstract We show that the correct dual hydrodynamic description of homogeneous holographic models with spontaneously broken translations must include the so-called “strain pressure” – a novel transport coefficient proposed recently. Taking this new ingredient into account, we investigate the near-equilibrium dynamics of a large class of holographic models and faithfully reproduce all the hydrodynamic modes present in the quasinormal mode spectrum. Moreover, while strain pressure is characteristic of equilibrium configurations which do not minimise the free energy, we argue and show that it also affects models with no background strain, through its temperature derivatives. In summary, we provide a first complete matching between the holographic models with spontaneously broken translations and their effective hydrodynamic description.

中文翻译：

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关于全息粘弹性模型的流体动力学描述

摘要 我们表明，具有自发中断平移的均匀全息模型的正确双流体动力学描述必须包括所谓的“应变压力”——最近提出的一种新的传输系数。考虑到这一新因素，我们研究了一大类全息模型的近平衡动力学，并忠实地再现了准正规模式谱中存在的所有流体动力学模式。此外，虽然应变压力是平衡配置的特征，它不会使自由能最小化，但我们认为并表明它也通过其温度导数影响没有背景应变的模型。总之，我们提供了具有自发中断平移的全息模型与其有效流体动力学描述之间的第一个完整匹配。