回旋流体动力学:强涡度的相对论性自旋流体
Gyrohydrodynamics: Relativistic spinful fluid with strong vorticity
摘要:
基于熵流分析,我们建立了一个相对论(准)流体动力学框架,称为回转流体动力学,来描述强涡度下自旋多体系统的流体动力学。该框架将最近发展的自旋流体力学推广到自旋密度在导数中处于领先阶但由于其量子性质而被另一个小参数普朗克常量$\hbar$抑制的区域。我们的分析表明,完整的一阶本构关系的回转流体动力学涉及17个输运系数和高度各向异性。
英文摘要:
We develop a relativistic (quasi-)hydrodynamic framework, dubbed the gyrohydrodynamics, to describe fluid dynamics of many-body systems with spin under strong vorticity based on entropy-current analysis. This framework generalizes the recently-developed spin hydrodynamics to the regime where the spin density is at the leading order in derivatives but suppressed by another small parameter, the Planck constant $\hbar$, due to its quantum nature. Our analysis shows that the complete first-order constitutive relations of gyrohydrodynamics involve seventeen transport coefficients and are highly anisotropic.
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