来自量子动力学理论的简述自旋流体力学

David Wagner
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引用次数: 0

摘要

本文基于量子动力学理论推导了耗散相对论自旋流体力学方程。采用逆雷诺数优势(IReD)方法,构建了基于克努森数和逆雷诺数幂级数的求和方案,得出了精确到二阶的流体力学方程。研究发现,自旋动力学可以用 11 个方程来描述:其中 6 个方程描述了自旋势分量的演化,其余 5 个方程提供了耗散的不可还原秩-2 张量的运动方程。在简单截断的情况下,一阶和二阶输运系数的计算是显式的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Resummed spin hydrodynamics from quantum kinetic theory
In this work, the equations of dissipative relativistic spin hydrodynamics based on quantum kinetic theory are derived. Employing the inverse-Reynolds dominance (IReD) approach, a resummation scheme based on a power counting in Knudsen and inverse Reynolds numbers is constructed, leading to hydrodynamic equations that are accurate to second order. It is found that the spin dynamics can be characterized by eleven equations: six of them describe the evolution of the components of the spin potential, while the remaining five provide the equation of motion of a dissipative irreducible rank-two tensor. For a simple truncation, the first- and second-order transport coefficients are computed explicitly.
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