用拉格朗日子流形追踪宇宙网子结构
Tracing the Cosmic Web substructure with Lagrangian submanifold
摘要：
提出了一种新的计算范式，用于分析宇宙学冷暗物质模拟中的宇宙网亚结构。我们引入了一个新的数据场-触发场-它承载着关于宇宙结构形成的历史和动力学的丰富信息。触发器场是拉格朗日空间中的有序数据集，其表示由N体模拟中的计算粒子表示的每个无碰撞流体元素的基本体积的由内而外符号反转的圈数。这个场是使用拉格朗日子流形计算的，即由模拟粒子的三个拉格朗日坐标和三个欧拉坐标形成的六维空间中的三维暗物质片。它表明，非常丰富的子结构的暗物质晕和空区可以可靠和明确地恢复从触发场。
英文摘要：
A new computational paradigm for the analysis of substructure of the Cosmic Web in cosmological cold dark matter simulations is proposed. We introduce a new data-field --- the flip-flop field ---which carries wealth of information about the history and dynamics of the structure formation in the universe. The flip-flop field is an ordered data set in Lagrangian space representing the number of turns inside out sign reversals of an elementary volume of each collisionless fluid element represented by a computational particle in a N-body simulation. This field is computed using the Lagrangian submanifold, i.e. the three-dimensional dark matter sheet in the six-dimensional space formed by three Lagrangian and three Eulerian coordinates of the simulation particles. It is demonstrated that the very rich substructure of dark matter haloes and the void regions can be reliably and unambiguously recovered from the flip-flop field.
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