镶嵌宇宙：空间的泽尔多维奇和粘附镶嵌
Tessellating the Universe: the Zel'dovich and Adhesion tiling of space
摘要：
粘附近似是一个简单的分析模型，建议解释观测到的星系分布结构的主要几何特征，尺度从1到（几个）x100/h Mpc。它基于Burgers方程，因此可以进行相当详细的分析。假设无限小粘性的模型的一个特殊版本自然会导致宇宙的不规则镶嵌。镶嵌的一般元素：顶点，边缘，面和三维瓦片可以与不同种类的天文物体相关联：星系团，超星系团和星系空洞。点状顶点包含了大部分的质量，一维边（细丝）是第二大质量元素。质量最小的是二维面和瓦片（空洞）。大尺度结构的演变可以被看作是一个连续的过程，主要是从镶嵌的高维元素到低维元素的传输质量。例如，从细胞的质量流入面，边和顶点，反过来，从面的质量流入边和顶点等，在同一时间，镶嵌本身的元素是在连续运动导致合并的一些顶点，增长的一些瓷砖和收缩和消失的其他以及其他变形。
英文摘要：
The adhesion approximation is a simple analytical model suggested for explanation of the major geometrical features of the observed structure in the galaxy distribution on scales from 1 to (a few)x100/h Mpc. It is based on Burgers' equation and therefore allows analysis in considerable detail. A particular version of the model that assumes the infinitesimal viscosity naturally results in irregular tessellation of the universe. Generic elements of the tessellation: vertices, edges, faces and three-dimensional tiles can be associated with astronomical objects of different kinds: clusters, superclusters and voids of galaxies. Point-like vertices contain the most of the mass and one-dimensional edges (filaments) are the second massive elements. The least massive are the two-dimensional faces and tiles (voids). The evolution of the large-scale structure can be viewed as a continuous process that transports mass predominantly from the high- to low-dimensional elements of the tessellation. For instance, the mass from the cells flows into faces, edges and vertices, in turn the mass from faces flows into edges and vertices, etc. At the same time, the elements of the tessellation themselves are in continuous motion resulting in mergers of some vertices, growth of some tiles and shrinking and disappearance of the others as well as other metamorphoses.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
