The evolution of the large-scale structure of the universe: beyond the linear regime
The evolution of the large-scale structure of the universe: beyond the linear regime
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宇宙大尺度结构的演化：超越线性状态
DOI：
10.1093/acprof:oso/9780198728856.003.0002
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
F. Bernardeau
中科院分区：
文献类型：
--
作者：
F. Bernardeau
这些讲稿介绍了描述超越线性区域的宇宙学结构增长的分析工具、方法和结果。重点介绍了描述无压流体中重力不稳定性发展的Vlasov-Poisson方程的单流区。这些笔记包括标准微扰理论的图解表示及其在计算所谓的回路对功率谱的贡献方面的应用。这些笔记的很大一部分致力于从长波模式和短波模式的贡献来探讨这些项的收敛性质。然后给出了功率谱双环校正的结果。最后，对使用不同方法的其他途径进行了探索。特别地，它展示了如何由按树形顺序计算的多变量累积量生成函数来构造联合密度和轮廓概率分布函数。
These lecture notes introduce analytical tools, methods and results describing the growth of cosmological structure beyond the linear regime. The presentation is focused on the single flow regime of the Vlasov-Poisson equation describing the development of gravitational instabilities in a pressureless fluid. These notes include the introduction of diagrammatic representations of the standard perturbation theory with applications to the calculation of the so-called loop contributions to the power spectra. A large part of these notes is devoted to the exploration of the convergence properties of these terms from the contribution of both the long-wave modes and the short-wave modes. The resulting performances of the two-loop corrections of the power spectra are then presented. Finally other avenues that use different methods are explored. In particular it is shown how joint density and profile probability distribution functions can be constructed out of the multiple-variable cumulant generating functions computed at tree order.
影响因子：
6.4
作者：
M. Pietroni
通讯作者：
M. Pietroni