AI 中文总结
研究FLRW凝胶模型的电声微扰模式，给出线性微扰新解析解与数值评估，刻画其时间演化，还通过引入粒子数涨落功率谱研究不同情况微扰，展示其对模型参数的依赖性，为理论与实验搭建桥梁。
AI 中文摘要
我们研究了均匀、各向同性且膨胀的（称为弗里德曼-勒梅特-罗伯逊-沃克（FLRW））凝胶模型中的电声微扰模式，以此模拟类似牛顿宇宙学膨胀中的密度微扰。我们给出了特定模拟宇宙学膨胀中线性微扰的新解析解以及完整数值评估，刻画了电声模式的时间演化，涵盖线性和非线性区域的完整动力学行为。对于压力支持演化或非绝热贡献源的模式情况，我们通过引入依赖尺度的粒子数涨落功率谱来刻画此类微扰的时间演化，它可作为连接理论与实验的工具。详细展示了后者对模型物理参数的依赖性。
英文摘要
We study electro-acoustic perturbative modes in homogeneous, isotropic and expanding -- dubbed as Friedmann-Lemaitre-Robertson-Walker (FLRW) -- Jellium models, thereby mimicking density perturbations in analogous Newtonian cosmological expansions. We present both novel analytic solutions for linear perturbations in specific analogue cosmological expansions and full numerical evaluations that characterize the temporal evolution of the electro-acoustic modes capturing their full dynamical behavior across the linear and the nonlinear regimes. For both the case of pressure supported evolution or modes sourced by nonadiabatic contributions, we also characterize the temporal evolution of such perturbations by introducing their scale dependent particle number fluctuation power spectrum which can act as a tool to connect theory and experiments. The dependence of the latter on the physical parameters of the model is demonstrated in detail.
Comments09 pages
