Astronomy and Astrophysics – Astrophysics
Scientific paper
1998-08-27
Astrophys.J. 509 (1998) 517
Astronomy and Astrophysics
Astrophysics
34 pages, 14 figures included. Accepted for publication in the Astrophysical Journal
Scientific paper
10.1086/306538
The power spectrum P(k)\propto k^n with n=-2 is close to the shape of the measured galaxy spectrum on small scales. Unfortunately this spectrum has proven rather difficult to simulate. Further, 2-dimensional simulations have suggested a breakdown of self-similar scaling for spectra with n<-1 due to divergent contributions from the coupling of long wave modes. This paper is the second (numerical) part of our investigation into the nonlinear gravitational clustering of scale-free spectra. Using high-resolution N-body simulations we find that the n=-2 power spectrum, as well as trajectories of the amplitude and phase of Fourier modes, display self-similar scaling. The evolution of the phase shift does show a different scaling at late times, but this was shown analytically to arise from the purely kinematical effect of bulk flows. Thus our analytical and N-body results verify that self-similarity in gravitational clustering holds for -3
Bertschinger Edmund
Jain Bhuvnesh
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