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Third-order Perturbation Theory With Non-linear Pressure · Around

2009

Third-order Perturbation Theory With Non-linear Pressure

Shoji, Masatoshi, Komatsu, Eiichiro

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We calculate the non-linear matter power spectrum using the 3rd-order perturbation theory without ignoring the pressure gradient term.

We consider a semi-realistic system consisting of two matter components with and without pressure, and both are expanded into the 3rd order in perturbations in a self-consistent manner, for the first time.
While the pressured component may be identified with baryons or neutrinos, in this paper we mainly explore the physics of the non-linear pressure effect using a toy model in which the Jeans length does not depend on time, i.e., the sound speed decreases as 1/a^{1/2}, where a is the scale factor.
The linear analysis shows that the power spectrum below the so-called filtering scale is suppressed relative to the power spectrum of the cold dark matter.

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Original
2009
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