title: 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 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.
authors.affiliation: Institut de Physique et Chimie des Matériaux de Strasbourg, CNRS and Université de Strasbourg, Boîte Postale 43, F-67034 Strasbourg Cedex 2, France.
authors.forename: Giovanni
authors.initials: G
authors.lastname: Manfredi
authors.affiliation: Université d'Orléans, ISTO, CNRS/INSU, BRGM, 1A rue de la Férollerie, F-45071 Orléans Cedex 2, France.
authors.forename: Jean-Louis
authors.initials: JL
authors.lastname: Rouet
authors.affiliation: Department of Physics and Astronomy, Texas Christian University, Fort Worth, Texas 76129, USA.
authors.forename: Bruce
authors.initials: B
authors.lastname: Miller
authors.affiliation: Department of Physics and Astronomy, Texas Christian University, Fort Worth, Texas 76129, USA.
authors.forename: Yui
authors.initials: Y
authors.lastname: Shiozawa