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Normal modes of vibrations around Hubble flow in jellium

机译:Jellium在哈勃流动周围振动的正常振动模式

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摘要

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 electroacoustic, 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.
机译:具有或不具有补偿背景电荷的相同带电粒子的宏观库仑系统可以发展保持空间均匀性和各向同性,以模仿宇宙的宇宙学逐渐加剧,具有排斥性的重力。在这里,我们通过分析其正常的振动模式研究相应的哈勃流的背景的小扰动的动态。可以将流动的任意干扰分成两个电声,两个涡流和一种熵模式,其动力学进行了调查。具体地,在零压力或长波长限制密度和速度的扰动以与初始干扰的形式无关的方式发展。相同的结论适用于任意压力速度的涡流扰动,而熵流动的熵扰动。在没有背景上充电,底层的哈勃流程描述了对小扰动的稳定性的库仑爆炸。

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  • 来源
    《Physical review》 |2020年第17期|174304.1-174304.8|共8页
  • 作者

    Eugene B. Kolomeisky;

  • 作者单位

    Department of Physics University of Virginia P. O. Box 400714 Charlottesville Virginia 22904-4714 USA;

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  • 正文语种 eng
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