Cosmology in One Dimension: Vlasov Dynamics

Abstract

Numerical simulations of self-gravitating systems are generally based on N-body codes, which solve the equations of motion of a large number of interacting particles. This approach suffers from poor statistical sampling in regions of low density. In contrast, Vlasov codes, by meshing the entire phase space, can reach higher accuracy irrespective of the density. Here, we performed one-dimensional Vlasov simulations of a long-standing cosmological problem, namely the fractal properties of an expanding Einstein-de Sitter universe in Newtonian gravity. The N-body results were confirmed for high-density regions and extended to regions of low matter density, where the N-body approach usually fails.

References in corpus (6)

• The Laniakea supercluster of galaxies
• Detection of a Supervoid Aligned with the Cold Spot of the Cosmic Microwave Background
• Fractal Dimensions of a Weakly Clustered Distribution and the Scale of Homogeneity
• Vlasov versus N-body: the Hénon sphere
• Spatial density fluctuations and selection effects in galaxy redshift surveys
• Fractal Dimension Computation From Equal Mass Partitions

Cited by in corpus (5)

• Cosmological structure formation with negative mass
• Post-collapse perturbation theory in 1D cosmology -- beyond shell-crossing
• Continuous wavelet analysis of matter clustering using the Gaussian-derived wavelet
• Structure formation in a Dirac-Milne universe: comparison with the standard cosmological model
• One-Dimensional Relativistic Self-Gravitating Systems