Astronomy and Astrophysics – Astrophysics
Scientific paper
1996-06-02
Mon.Not.Roy.Astron.Soc. 286 (1997) 1023
Astronomy and Astrophysics
Astrophysics
Title changed. Added two figures and some discussion. Postscript file containing all the figures is available at http://www.
Scientific paper
We investigate the transfer of power between different scales and coupling of modes during non-linear evolution of gravitational clustering in an expanding universe. We start with a power spectrum of density fluctuations that is exponentially damped outside a narrow range of scales and use numerical simulations to study evolution of this power spectrum. Non-Linear effects generate power at other scales with most power flowing from larger to smaller scales. The ``cascade'' of power leads to equipartition of energy at smaller scales, implying a power spectrum with index $n\approx -1$. We find that such a spectrum is produced in the range $1 < \delta < 200$ for density contrast $\delta$. This result continues to hold even when small scale power is added to the initial power spectrum. Semi-analytic models for gravitational clustering suggest a tendency for the effective index to move towards a critical index $n_c\approx -1$ in this range. For n
Bagla Jasjeet S.
Padmanabhan Thanu
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