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arXiv 0909.0622astro-ph.COgr-qchep-ph
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turbulence的随机引力波背景和一级相变产生的磁场

The stochastic gravitational wave background from turbulence and magnetic fields generated by a first-order phase transition

Chiara Caprini, Ruth Durrer, Geraldine Servant

摘要:

我们解析地推导了一阶相变中磁流体动力学湍流引起的引力波的频谱。与以前的研究相比,我们考虑到这样一个事实,即湍流和磁场作为引力波的源,许多哈勃时间后,相变完成。这在大尺度上改变了引力波的频谱。我们还模拟初始搅拌阶段之前的柯尔莫哥洛夫级联,而早期的作品假设柯尔莫哥洛夫频谱集瞬间。源在时间上的连续性与正确确定引力波谱的峰值位置有关。我们讨论的结果如何依赖于假设的不平等的时间相关的源和激励一个现实的选择it.Our治疗给出了类似的峰值频率作为以前的分析,但信号的幅度减少,由于使用一个更现实的功率谱的磁流体动力学湍流。对于强一阶电弱相变,用空间干涉仪LISA可以观测到信号。

英文摘要:

We analytically derive the spectrum of gravitational waves due to magneto-hydrodynamical turbulence generated by bubble collisions in a first-order phase transition. In contrast to previous studies, we take into account the fact that turbulence and magnetic fields act as sources of gravitational waves for many Hubble times after the phase transition is completed. This modifies the gravitational wave spectrum at large scales. We also model the initial stirring phase preceding the Kolmogorov cascade, while earlier works assume that the Kolmogorov spectrum sets in instantaneously. The continuity in time of the source is relevant for a correct determination of the peak position of the gravitational wave spectrum. We discuss how the results depend on assumptions about the unequal-time correlation of the source and motivate a realistic choice for it. Our treatment gives a similar peak frequency as previous analyses but the amplitude of the signal is reduced due to the use of a more realistic power spectrum for the magneto-hydrodynamical turbulence. For a strongly first-order electroweak phase transition, the signal is observable with the space interferometer LISA.

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