# Particle linear theory on a self-gravitating perturbed cubic Bravais lattice - Astrophysics

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Abstract: Discreteness effects are a source of uncontrolled systematic errors of N-bodysimulations, which are used to compute the evolution of a self-gravitatingfluid. We have already developed the so-called -Particle Linear Theory- PLT,which describes the evolution of the position of self-gravitating particleslocated on a perturbed simple cubic lattice. It is the discrete analogue of thewell-known Lagrangian linear theory of a self-gravitating fluid. Comparingboth theories permits to quantify precisely discreteness effects in the linearregime. It is useful to develop the PLT also for other perturbed latticesbecause they represent different discretizations of the same continuous system.In this paper we detail how to implement the PLT for perturbed cubic Bravaislattices simple, body and face-centered in a cubic simulation box. As anapplication, we will study the discreteness effects - in the linear regime -of N-body simulations for which initial conditions have been set-up using thesedifferent lattices.

Author: ** B. Marcos**

Source: https://arxiv.org/