论文标题
开尔文 - 霍尔姆尔兹不稳定性中自发的平等时间对称性破裂的物理学
The Physics of Spontaneous Parity-Time Symmetry Breaking in the Kelvin-Helmholtz Instability
论文作者
论文摘要
我们表明，具有速度剪切的无粘性流体的动力学，尤其是开尔文 - 赫尔姆霍尔茨（KH）的不稳定性，允许平均时间（PT）对称性，这为系统扰动特征的频谱提供了对实际符合实际符号的扰动特征的频谱的物理解释。发现仅当PT对称性自发损坏时，KH不稳定性才会触发。 PT对称性的分析还表明，当抑制不稳定时，平行速度和压力扰动之间的相对相需要锁定为$π/2 $。
We show that the dynamics, in particular the Kelvin-Helmholtz (KH) instability, of an inviscid fluid with velocity shear admits Parity-Time (PT) symmetry, which provides a physical explanation to the well-known observation that the spectrum of the perturbation eigenmodes of the system is symmetric with respect to the real axis. It is found that the KH instability is triggered when and only when the PT symmetry is spontaneously broken. The analysis of PT symmetry also reveals that the relative phase between parallel velocity and pressure perturbations needs to be locked at $π/2$ when the instability is suppressed.
