表面张力液柱中粘性引起的模分裂

本文证明粘性会使得表面张力所维持的无限长液柱运动模发生分裂(或称分叉),结果是每个轴对称模一次分裂为无穷个。这种现象类似于原生物理学中的 Zeemen 和 Stark效应。无粘条件下的不稳定模分裂后还出现可数无穷个负势能的稳定模,这是关于连续系统模稳定性的 Hare 和 Chandrasekhar 势能判据的一个反例,并解释其物理意义。

VISCOSITY-INDUCED MODE BIFURCATIONS IN AN INFINITE CAPILLARY LIQUID CYLINDER

This paper points out that viscosity can induce mode splitting (or called bifurcation) of the type of one-to-infinity in an infinite capillary liquid cylinder This phenomenon is similar to the Zeeman and Stark effects in atomic physics, although of different importance. After splitting there occur stable modes with negative potential energy, which are opposite to Hare and Chandrasekhar's energy principle.This paper points out that viscosity can induce mode splitting (or called bifurcation) of the type of one-to-infinity in an infinite capillary liquid cylinder This phenomenon is similar to the Zeeman and Stark effects in atomic physics, although of different importance. After splitting there occur stable modes with negative potential energy, which are opposite to Hare and Chandrasekhar's energy principle.