Analysis of Non-Linear Mode Coupling of Cosmological Density Fluctuations by the Pseudo-Spectral Method : Astrophysics and Relativity

概要

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The pseudo-spectral method is proposed for following the evolution of density and velocity fluctuations at the weakly non-linear stage in the expanding universe with good accuracy. With this method, the evolution of density and velocity fluctuations is integrated in the Fourier Space using an FFT. This method is very useful to investigate accurately the non-linear dynamics in the weakly non-linear regime. Because the pseudo-spectral method works directly in the Fourier space, it should be especially useful for examining behavior in the Fourier domain, for example, the effects of the non-linear coupling of different wave modes on the evolution of the power spectrum. The results of this analysis both in one- and three-dimensional systems are shown.
理論物理学刊行会の論文
1995-07-25