论文标题
jellium中哈勃流动周围振动的正常模式
Normal modes of vibrations around Hubble flow in Jellium
论文作者
论文摘要
具有或没有补偿背景电荷的相同带电颗粒的宏观库仑系统可以进化保持空间均匀性和各向同性，以模仿具有排斥性重力的大学的宇宙学演化。在这里，我们通过分析其正常的振动模式来研究相应哈勃流动流的背景上的小扰动动力学。对流动的任意干扰可以分解为两个电声声，两个涡流和一个熵模式，它们的动力学已被研究。具体而言，在零压力或长波长限制中，密度和速度的扰动以独立于初始干扰形式的方式发展。同样的结论适用于任意压力的速度的涡受扰动，而熵扰动则由哈勃流动。没有背景电荷，基本的哈勃流动描述了库仑爆炸，该库仑爆炸还显示出相对于小干扰的稳定性。
A macroscopic Coulomb system of identical charged particles with or without a compensating background charge can evolve maintaining spatial homogeneity and isotropy that mimic the cosmological evolution of a universe with repulsive gravity. Here we study dynamics of small perturbations on the background of the corresponding Hubble flow by analyzing its normal modes of vibrations. Arbitrary disturbance of the flow can be resolved into two electro-acoustic, two vortical, and one entropic modes whose dynamics is investigated. Specifically, in the zero pressure or long-wavelength limits perturbations of density and velocity evolve in a manner that is independent of the form of the initial disturbance. The same conclusion applies to vortical perturbations of the velocity for arbitrary pressure while entropic perturbations are advected by the Hubble flow. Without the background charge the underlying Hubble flow describes a Coulomb explosion whose stability with respect to small disturbances is also demonstrated.
