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How small hydrodynamics can go

机译：流体动力学如何去

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Numerous experimental and theoretical results in liquids and plasmas suggest the presence of a critical momentum at which the shear diffusion mode collides with a nonhydrodynamic relaxation mode, giving rise to propagating shear waves. This phenomenon, labeled “k-gap,” could explain the surprising identification of a low-frequency elastic behavior in confined liquids. More recently, a formal study of the perturbative hydrodynamic expansion showed that critical points in complex space, such as the aforementioned k-gap, determine the radius of convergence of linear hydrodynamics—its regime of applicability. In this work, we combine the two new concepts, and we study the radius of convergence of linear hydrodynamics in “real liquids” by using several data from simulations and experiments. We generically show that the radius of convergence increases with temperature and it surprisingly decreases with the electromagnetic interactions coupling. More importantly, for all the systems considered, we find that such a radius is set by the Wigner–Seitz radius—the characteristic interatomic distance of the liquid, which provides a natural microscopic bound.
机译：液体和等离子体中的许多实验和理论结果表明存在剪切扩散模式与非水动力弛豫模式碰撞的关键动量，从而产生传播剪切波。这种现象标记为“K-GAP”，可以解释狭窄液体中低频弹性行为的令人惊讶的鉴定。最近，对扰动的流体动力学展开的正式研究表明，复杂空间中的临界点，例如上述K-GAP，确定线性流体动力学的收敛半径 - 其适用性的制度。在这项工作中，我们结合了这两个新概念，我们通过使用来自模拟和实验的几个数据来研究“真实液体”中线性流体动力学的收敛半径。我们经常表明收敛半径随温度而增加，并且随着电磁相互作用耦合令人惊讶地降低。更重要的是，对于所考虑的所有系统，我们发现这种半径由Wigner-Seitz半径 - 液体的特征外部距离设置，其提供自然的微观界定。

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