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Kinetic field theory: Non-linear cosmic power spectra in the mean-field approximation | | Matthias Bartelmann
; Johannes Dombrowski
; Sara Konrad
; Elena Kozlikin
; Robert Lilow
; Carsten Littek
; Christophe Pixius
; Felix Fabis
; | | Date: |
10 Nov 2020 | | Abstract: | We use the recently developed Kinetic Field Theory (KFT) for cosmic structure
formation to show how non-linear power spectra for cosmic density fluctuations
can be calculated in a mean-field approximation to the particle interactions.
Our main result is a simple, closed and analytic, approximate expression for
this power spectrum. This expression has two parameters characterising
non-linear structure growth which can be calibrated within KFT itself. Using
this self-calibration, the non-linear power spectrum agrees with results
obtained from numerical simulations to within typically $lesssim10,\%$ up to
wave numbers $klesssim10,h,mathrm{Mpc}^{-1}$ at redshift $z = 0$. Adjusting
the two parameters to optimise agreement with numerical simulations, the
relative difference to numerical results shrinks to typically $lesssim 5,\%$.
As part of the derivation of our mean-field approximation, we show that the
effective interaction potential between dark-matter particles relative to
Zel’dovich trajectories is sourced by non-linear cosmic density fluctuations
only, and is approximately of Yukawa rather than Newtonian shape. | | Source: | arXiv, 2011.04979 | | Services: | Forum | Review | PDF | Favorites | |
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