发表机构
University of Delhi; Central University of Tamil Nadu(德里大学; 泰米尔纳德中央大学)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
该研究探究早期宇宙磁化手性等离子体中随机引力波与手性阿尔文波的共振相互作用,推导耦合扰动方程,发现参数共振特性,明确反作用的非线性效应,计算可观测的共振频率与增长率。
AI 中文摘要
本工作研究早期宇宙磁化手性等离子体中随机引力波(GW)与手性阿尔文波的共振相互作用。从协变手性磁流体动力学耦合线性化引力出发,推导了耦合手性阿尔文速度和磁场扰动的封闭方程组。分析与数值结果均表明,在两个CVE分裂分支的和频处存在参数共振,且不稳定带随GW应变增大而变宽。该CVE与阿尔文波的比值并非自由参数,在早期宇宙中由标准模型的相对论自由度确定。计入等离子体对GW的反作用后,能量交换变为非线性,打破了常规的单频曼利-罗(Manley-Rowe)图像。对于反作用仅为小修正的自洽参数选择,未被抑制的共振仍会在几个哈勃时间内驱动系统达到有限时间爆聚。我们还计算了涉及的共振频率和增长率,明确了当前及未来引力波探测器可观测的范围。
英文摘要
In this work, we investigate the resonant interaction between stochastic gravitational waves (GWs) and chiral Alfvén waves in a magnetized chiral plasma in the early Universe. Starting from covariant chiral magnetohydrodynamics coupled to linearized gravity, we derive a closed system of equations for the coupled chiral-Alfvén velocity and magnetic-field perturbations. Both analytics and numerics show a parametric resonance at the sum frequency of the two CVE-split branches, with an instability band that widens as the GW strain grows. This CVE-to-Alfvén ratio is not a free parameter. In the early Universe, it is fixed by the Standard Model's relativistic degrees of freedom. Including the plasma's backreaction on the GW makes the energy exchange nonlinear, breaking the usual single-frequency Manley-Rowe picture. For a self-consistent choice of parameters, where backreaction is only a small correction, the unsuppressed resonance still drives the system to a finite-time blow-up within a few Hubble times. We then work out the resonant frequencies and growth rates involved, mapping out what current and future gravitational-wave detectors could observe.
CommentsPaper contains 19 pages and 12 figures