Minimal spectrum of long-wave perturbations - Is linear growth correct only in the nonlinear regime?

Details Minimal spectrum of long-wave perturbations - Is linear growth correct only in the nonlinear regime? Minimal spectrum of long-wave perturbations - Is linear growth correct only in the nonlinear regime?

Dec 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...364..396s&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 364, Dec. 1, 1990, p. 396-399.

Astronomy and Astrophysics

Astrophysics

18

Galactic Clusters, Gravitational Fields, Long Wave Radiation, Nonlinear Systems, Computerized Simulation, Cosmology, High Resolution, Power Spectra

Scientific paper

Very high resolution two-dimensional simulations are used to test the generation and growth of the so-called 'minimal' k exp 4 power spectrum which develops from initial conditions which have power only on small scales, such as might result from some process in the early universe. It is confirmed that the amplitude of minimal long-wave power grows proportionally to a exp 4, not a-squared, where a is the scale factor of the expanding universe. It reverts to a-squared only after the short-wave modes are effectively saturated, and by that time an effective long-wave power law closer to k-cubed is found. Small-scale perturbations may result in much more long-wave power than has been generally assumed.

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