Mathematics – Logic
Scientific paper
Apr 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998aps..apr..i704m&link_type=abstract
American Physical Society, APS/AAPT Joint April Meeting, April 18-21, 1998 Columbus, Ohio, abstract #I7.04
Mathematics
Logic
Scientific paper
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: Artificial discreteness in simulations violates the Poisson--Vlasov equations. We test this in PM, P^3M, Tree, and NGPM codes, requring that they preserve the one--dimensional character of plane wave collapse. We find collisionality vanishing as the softening parameter approaches the mean interparticle separation. In a series of comparisons of the same codes with Gaussian initial conditions, we find agreement of results of individual and the statistical properties only on scales larger than the mean interparticle separation. As a result, we question most numerical results at and below below galaxy scales, either concerning primordial dark matter or baryonic matter coupled to it by gravitation. Solutions for the problem are suggested, involving greater computer power, PM--based nested grid codes, and a more conservative approach to resolution claims.
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