We apply the hierarchical clustering model and nonlinear perturbation theory to the cosmological density and temperature fields. This allows us to calculate the intergalactic gas-pressure power spectrum, Sunyaev-Zeldovich (SZ) anisotropy power spectrum, skewness, and related statistics. Then we show the effect of the nongravitational heating. Our model confirms recent simulations yielding a mass-weighted gas temperature g ~ 0.35 keV and reproduces the power spectra found in these simulations. While the SZ effect contains only angular information, we show that it is possible to extract the full time-resolved gas-pressure power spectrum when combined with galaxy photometric redshift surveys by using a variation on the cross-correlation. This method further allows the disentanglement of the gravitational and the nongravitational heating.
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