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Demonstrating Discreteness and Collision Error in Cosmological N-Body Simulations of Dark Matter Gravitational Clustering

Adrian L. Melott et al 1997 ApJ 479 L79-L83   doi: 10.1086/310590  Help

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Adrian L. Melott1, Sergei F. Shandarin1, Randall J. Splinter2,3 and Yasushi Suto4
1 Department of Physics and Astronomy, University of Kansas, Lawrence, KS 66045
2 Center for Computational Sciences, 325 McVey Hall, University of Kentucky, Lexington, KY 40506
3 Department of Physics and Astronomy, University of Kentucky, Lexington, KY 40506
4 Department of Physics and RESCEU, University of Tokyo, Tokyo 113, Japan
E-mail: melott@kusmos.phsx.ukans.edu, sergei@kusmos.phsx.ukans.edu, randal@ccs.uky.edu and suto@phys.s.u-tokyo.ac.ip

ABSTRACT. Two-body scattering and other discreteness effects are unimportant in cosmological gravitational clustering in most scenarios since the dark matter has a small particle mass. The collective field should determine evolution; two-body scattering in simulations violates the Poisson-Vlasov equations. We test this result in PM, P3M, Tree, and NGPM codes, noting that a collisionless code will preserve the one-dimensional character of plane-wave collapse. We find collisionality vanishing as the softening parameter approaches the mean interparticle separation. Solutions for the problem are suggested, involving greater computer power, PM-based nested grid codes, and a more conservative approach to resolution claims.

Subject headings: cosmology: miscellaneous; dark matter; gravitation; hydrodynamics; methods: numerical

Print publication: Issue 2 (1997 April 20)
Received 1996 September 24, accepted for publication 1997 January 30

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