Cosmological Primeval Perturbation Spectra in Mildly Non-Linear Regime |
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| Authors: | Xiao-Qing Li Hang Zhang |
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| Institution: | (1) Purple Mountain Observatory, Academia Sinica, Nanjing, China |
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| Abstract: | The linear equation (2.14) describing the dynamical evolution of density perturbation in an expanding universe is not able to determine the form of power-spectrum | k|2, i.e. the energy distribution with respect to wave numbers k. However, in the case of weak turbulence, we may construct the kinetic equation for the wave modes of an oscillating universe with k > kJ (the Jean wavenumber). For the growing modes with long-wavelength in the range k < kJ after recombination, the perturbations are of vortex-like and their relative amplitudes are large (but we still study the case frac  < 1); owing to the non-linear interactions, the system of the perturbations will finally towards a statistical equilibrium. In cases of both above, we obtain the primeval spectra in the form of | <>k | 2  k0, which are fitting to the self-similar clustering picture. |
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