Mathematics – Logic
Scientific paper
Sep 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...396..379s&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 396, no. 2, Sept. 10, 1992, p. 379-394. Research supported by Japan Society
Mathematics
Logic
26
Cosmology, Gravitation Theory, Gravitational Fields, Coupled Modes, Density Wave Model, Fourier Transformation, Power Spectra
Scientific paper
Nonlinear evolution of density fluctuations is examined using the Zel'dovich solution in a one-dimensional cosmological field. In particular, the distributions of phases and amplitudes of density fluctuations in Fourier space are studied in detail. The higher frequency modes generated from the pre-existing modes in the lower frequencies show some systematic phase correlation among different wavenumbers. A conservation law of fluctuation power is discovered, which holds for the power-transfer due to the nonlinear mode-coupling in a one-dimensional gravitational density field; the transfer of power tends to occur in the direction to achieve the equipartition of fluctuation power per unit wavenumber. This tendency is not only limited to a one-dimensional system, but rather seems to be quite generic from the available indications from the analysis of three-dimensional cosmological systems.
Soda Jiro
Suto Yasushi
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