Related Experiment Video
Updated: Mar 21, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Cosmology in one dimension: Vlasov dynamics
Giovanni Manfredi1, Jean-Louis Rouet2, Bruce Miller3
1Institut de Physique et Chimie des Matériaux de Strasbourg, CNRS and Université de Strasbourg, Boîte Postale 43, F-67034 Strasbourg Cedex 2, France.
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 perform 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 are confirmed for high-density regions and extended to regions of low matter density, where the N-body approach usually fails.
Related Concept Videos
Dimensionless Groups in Fluid Mechanics
Collisions in Multiple Dimensions: Introduction
Space-Time Curvature and the General Theory of Relativity
This has been verified in many experiments. However, space and time are no longer absolute. Two observers moving relative to one another do not agree on the length of objects or the passage of time. The mechanics of objects based on Newton's laws of...
First Law: Particles in One-dimensional Equilibrium
Relative Velocity in One Dimension
Symmetry in Maxwell's Equations

