Fundamental Discreteness Limitations of Cosmological N-body Clustering Simulations

Mathematics – Logic

Scientific paper

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Scientific paper

We investigate some of the effects that discreteness and two-body scattering may have on N-body simulations with "realistic" cosmological initial conditions. We use an identical subset of particles from the initial conditions of a 128**3 calculation as initial conditions for a variety of PM, P(3) M, and Tree code simulations. The force softening length and particle number are varied in the P(3) M and Tree code run and compared to the PM run. In particular, we investigate the effect of mass resolution, since most "high resolution" codes only have high resolution in the gravitational force, not the mass. We find that although some statistical measures agree, in most cases the codes give different results up to the mean comoving interparticle separation.

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