二维流体中手性压力的微观起源
Microscopic origin of the chiral pressure in a two-dimensional fluid
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中文总结 AI 辅助
本文揭示二维手性流体中手性压力的微观来源，源于破坏宇称的伪标量平均值，由旋转黏度决定，并在均匀稳态中持续存在。
中文摘要 AI 辅助
我们证明二维手性流体支持对压力的反对称贡献，并确定其微观表达式。其起源位于正常压力张量的标准动力学和碰撞通道之外，而是源于一个破坏宇称的伪标量的平均值。该手性压力由微极流体动力学中的旋转（涡旋）黏度决定，我们在此计算了粗糙圆盘在高斯阶下的动力学值。关键在于，手性压力和旋转黏度在梯度的零阶仍然存在，这意味着它们即使在完全均匀的流体中也会持续存在——我们证明该流体不仅是良定义的而且是稳态的（静止手性态，QCS）。由于该平均伪标量在手性流体中不为零，其分布函数的任何展开都必须包含该伪标量变量的项。
英文摘要
We show that a two-dimensional chiral fluid supports an antisymmetric contribution to the pressure, and determine its microscopic expression. Its origin lies outside the standard kinetic and collisional channels of the normal pressure tensor, stemming instead from the average of a parity-breaking pseudo-scalar. This chiral pressure is set by the rotational (vortex) viscosity of micropolar hydrodynamics, whose kinetic value for rough disks we compute here, to Gaussian order. Crucially, both the chiral pressure and the rotational viscosity survive at zeroth order in the gradients, meaning they persist even in the fully homogeneous fluid -- which we show is not only well defined but steady (the Quiescent Chiral State, QCS). Since this averaged pseudo-scalar does not vanish in a chiral fluid, any expansion of its distribution function must contain terms in this pseudo-scalar variable.
发表机构
- Universidad de Extremadura（埃斯特雷马杜拉大学）
- Instituto de Computación Científica Avanzada (ICCAEx)（高级科学计算研究所）
机构由 AI 辅助整理，请以论文原文为准。
