Evolution of cosmological turbulence. III - Spectrum of density inhomogeneities produced by turbulence

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Big Bang Cosmology, Density Distribution, Magnetohydrodynamic Turbulence, Turbulence Effects, High Temperature Plasmas, Ion Recombination, Partial Differential Equations, Spectrum Analysis, Vortices

Scientific paper

It is shown that practically all matter will evolve without the formation of shock waves following plasma recombination if the maximum damped turbulence scale at the end of recombination even slightly exceeds the scale of hydrodynamically frozen-in motions in the absence of dissipation. For this situation, a spectrum is calculated for density inhomogeneities generated by cosmic turbulence both before and after recombination. Toward the completion of recombination in a specific range of scales, entropy density inhomogeneities will remain which are formed in the course of exponential damping of turbulent velocities under the action of radiative viscosity and friction. In another range, inhomogeneities will dominate which result from the generation of potential velocities by vortices when pressure is removed at the moment of recombination. In yet another range, inhomogeneities due to sound emitted by the turbulence may predominate.

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