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

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Adrian L. Melott1, Sergei F. Shandarin1, Randall J. Splinter2,3 and Yasushi Suto4

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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


Dates

Issue 2 (1997 April 20)

Received 1996 September 24, accepted for publication 1997 January 30



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