Nonlinear Effects due to the Coupling of Long-Wave Modes

dc.creatorJain, Bhuvnesh
dc.creatorBertschinger, Edmund
dc.date1993-09-27
dc.date.accessioned2026-07-07T02:18:53Z
dc.date.available2026-07-07T02:18:53Z
dc.descriptionThe cosmological fluid equations are used to study the nonlinear mode coupling of density fluctuations. We find that for realistic cosmological spectra there is a significant contribution to the nonlinear evolution on scales of interest to large-scale structure from the long-wave part of the initial spectrum. A consequence of this mode coupling is that at high redshift, $z$, the nonlinear scale [defined by $σ(z)=1$] can be significantly larger than a linear extrapolation would indicate. For the standard CDM spectrum with a $σ_8=1$ normalization the mass corresponding to the nonlinear scale at $z=20, 10, 5$ is about $100, 10, 3$ times (respectively) larger than the linearly extrapolated value. We also investigate the possibility of divergent contributions to the density field from long-wave modes if the spectral index of the power spectrum $\ n<-1$. Using an approximate non-perturbative approach we find that for $n>-3\,$ the divergent contribution appears only in the phase. This can be related to the large-scale bulk velocity, and clarifies previous results from N-body simulations.
dc.description2 pages, Latex file, Proceedings of IAP Colloq 9, "Cosmological Velocity Fields" ed. F Bouchet & M. Lachieze-Rey, CSR-AT-93-22
dc.identifierhttps://arxiv.org/abs/astro-ph/9309040
dc.identifierhttp://arxiv.org/abs/astro-ph/9309040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/9659
dc.subjectAstrophysics
dc.titleNonlinear Effects due to the Coupling of Long-Wave Modes
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