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Testing the frozen-flow approximation
Author(s) -
Adrian L. Melott,
F. Lucchin,
S. Matarrese,
L. Moscardini
Publication year - 1994
Publication title -
monthly notices of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.058
H-Index - 383
eISSN - 1365-8711
pISSN - 0035-8711
DOI - 10.1093/mnras/268.1.69
Subject(s) - physics , tracing , flow (mathematics) , statistical physics , scale (ratio) , linear approximation , instability , gravitation , gravitational instability , astrophysics , mechanics , classical mechanics , nonlinear system , quantum mechanics , computer science , operating system
We investigate the accuracy of the frozen--flow approximation (FFA), recentlyproposed by Matarrese \etal (1992), for following the nonlinear evolution ofcosmological density fluctuations under gravitational instability. We compare anumber of statistics between results of the FFA and nbody simulations,including those used by Melott, Pellman \& Shandarin (1993) to test theZel'dovich approximation. The FFA performs reasonably well in a statisticalsense, e.g. in reproducing the counts--in--cell distribution, at small scales,but it does poorly in the crosscorrelation with nbody which means it isgenerally not moving mass to the right place, especially in models with highsmall--scale power.Comment: 13 pages in TEX (plus 8 Figures but only figs 5,6,7,8 are available--and here enclosed as postscript files, due to size problems), DAPD-93-25

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