Constant offset compared to linear theory when computing initial conditions power spectrum

Rui Lan Zhang
  • 18 Jun

Using the coordinates of the dark matter particles in the TNG300-2 initial conditions file obtained from this page (https://www.tng-project.org/data/docs/background/#sec1),
I tried computing the power spectrum using nbodykit. However, when I compare the result to the Eisenstein&Hu power spectrum (z=127), the one computed from the TNG initial conditions is approximately 5% lower. Do you know why this might be?

When I use the same procedure to compute the power spectrum of dark matter particles from the snapshot data then the results agree well with the Eisenstein&Hu power spectra at the corresponding redshifts.

Screenshot 2024-06-18 at 09.33.03.png
Screenshot 2024-06-18 at 09.35.26.png

Dylan Nelson
  • 19 Jun

The particles in the initial conditions are "total matter particles", not DM particles (as in the snapshots). Does this matter?

Rui Lan Zhang
  • 19 Jun

Actually, when I compute the power spectrum for the snapshots I use the dark versions. In this case the particles in the initial conditions and the snapshot should match?

Dylan Nelson
  • 20 Jun

The initial conditions for the "Dark" and "baryonic" simulations, of the same box+resolution, are exactly the same.

Perhaps the answer is simply that the TNG transfer function is not equal to the Eisenstein & Hu. The TNG transfer function is based on a CAMB simulation (this is described in some detail in Pillepich et al. 2018).

Rui Lan Zhang
  • 21 Jun

Would you be able to share the power spectrum that was used for the initial conditions, so that I can compare with the one I computed?

Dylan Nelson
  • 21 Jun

I've placed it (the input to N-GenIC) at https://www.tng-project.org/files/data/input_spectrum_PLANCK15.txt.

Rui Lan Zhang
  • 29 Jun

Thank you very much for sharing the power spectrum data.
Please may I ask what the normalisation is for this power spectrum?
The amplitude seems a lot higher than the power spectrum I computed from the dark matter particles.

Dylan Nelson
  • 29 Jun

This is an output from CAMB, I expect it is in the standard normalization of CAMB?

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