The void spectrum in two-dimensional numerical simulations of gravitational clustering

Details The void spectrum in two-dimensional numerical simulations of gravitational clustering The void spectrum in two-dimensional numerical simulations of gravitational clustering

Jul 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...393..415k&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 393, no. 2, July 10, 1992, p. 415-430. Research supported by Zonta Amelia E

Astronomy and Astrophysics

Astrophysics

49

Digital Simulation, Galactic Clusters, Gravitational Effects, Interacting Galaxies, Two Dimensional Models, Boundary Conditions, Universe, Video Tapes, Voids

Scientific paper

An algorithm for deriving a spectrum of void sizes from two-dimensional high-resolution numerical simulations of gravitational clustering is tested, and it is verified that it produces the correct results where those results can be anticipated. The method is used to study the growth of voids as clustering proceeds. It is found that the most stable indicator of the characteristic void 'size' in the simulations is the mean fractional area covered by voids of diameter d, in a density field smoothed at its correlation length. Very accurate scaling behavior is found in power-law numerical models as they evolve. Eventually, this scaling breaks down as the nonlinearity reaches larger scales. It is shown that this breakdown is a manifestation of the undesirable effect of boundary conditions on simulations, even with the very large dynamic range possible here. A simple criterion is suggested for deciding when simulations with modest large-scale power may systematically underestimate the frequency of larger voids.

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