Nonlinear Constrained Realizations of the Large-Scale Structure
Nonlinear Constrained Realizations of the Large-Scale Structure
复制标题
大型结构的非线性约束实现
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
Y. Hoffman
中科院分区：
文献类型：
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作者：
V. Bistolas;Y. Hoffman
本文将高斯随机场的维纳滤波和约束实现(CRS)的线性算法推广到非线性CRS。该程序包括：(1)使用低分辨率数据来约束下垫场的高分辨率实现，就好像线性理论是有效的；(2)通过线性理论在时间上将线性CR向后移动，为N-Body模拟设置初始条件；(3)通过N-Body代码在时间上向前推进场。引入了一个中间步骤，对低分辨率数据进行线性化。非线性CR可以应用于任何与下垫场呈准线性相关的观测数据集。本文将其应用于IRAS1.2JY星表，利用S一号6000公里球体内的846个数据点，重建了我们“局域”宇宙的完全非线性大尺度结构。该方法针对随机非线性实现的模拟IRAS调查进行了测试。对重构后的非线性结构进行了详细的分析。
The linear algorithm of the Wiener filter and constrained realizations (CRs) of Gaussian random fields is extended here to perform nonlinear CRs. The procedure consists of (1) using low-resolution data to constrain a high-resolution realization of the underlying field, as if the linear theory were valid; (2) taking the linear CR backward in time, by the linear theory, to set initial conditions for N-body simulations; (3) forwarding the field in time by an N-body code. An intermediate step is introduced to "linearize" the low-resolution data. The nonlinear CR can be applied to any observational data set that is quasi-linearly related to the underlying field. Here it is applied to the IRAS 1.2 Jy catalog using 846 data points within a sphere of 6000 km s-1, to reconstruct the full nonlinear large-scale structure of our "local" universe. The method is tested against mock IRAS surveys, taken from random nonlinear realizations. A detailed analysis of the reconstructed nonlinear structure is presented.