2008/04/30 by B. Marcos · 1 citation
Physics and Astronomy · #Astrophysics and Star Formation Studies #Scientific Research and Discoveries #Stellar, planetary, and galactic studies #astro-ph #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevd.78.043536
published as Phys.Rev.D78:043536,2008 · 9 pages, 4 figures and 4 tables. Minor corrections to match published version
openalex publication_date 2008/08/29 · arxiv created 2008/09/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Discreteness effects are a source of uncontrolled systematic errors of N-body simulations, which are used to compute the evolution of a self-gravitating fluid. We have already developed the so-called ``particle linear theory''(PLT), which describes the evolution of the position of self-gravitating particles located on a perturbed simple cubic lattice. It is the discrete analogue of the well-known (Lagrangian) linear theory of a self-gravitating fluid. Comparing both theories permits us to quantify precisely discreteness effects in the linear regime. It is useful to develop the PLT also for other perturbed lattices because they represent different discretizations of the same continuous system. In this paper we detail how to implement the PLT for perturbed cubic Bravais lattices (simple, body, and face-centered) in a cubic simulation box. As an application, we will study the discreteness effects---in the linear regime---of N-body simulations for which initial conditions have been set up using these different lattices.