Cosmology in One Dimension: a Two Component System

In the observable universe galaxies are grouped in clusters, clusters in super-clusters, and all are separated by large voids and super-voids. As the majority of the matter content of the universe is dark matter, it is difficult to understand the hierarchical nature of large-scale structure from observations alone. We simulated the evolution of two types of matter, one representing dark matter and the other luminous matter, in a single, one-dimensional, model universe. Our scale-dependent multifractal analysis compares the distribution of the dissipative component, representing luminous matter, with the non-dissipative dark matter and reveals important differences. In addition, we employ a minimum spanning tree (MST) analysis of both matter distributions to investigate the dynamics and hierarchical properties of clustering.