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We calculate the one-point probability density distribution functions (PDF)and the power spectra of the thermal and kinetic Sunyaev-Zeldovich (tSZ andkSZ) effects and the mean Compton Y parameter using the Magneticum Pathfindersimulations, state-of-the-art cosmological hydrodynamical simulations of alarge cosmological volume of (896 Mpc/h)^3. These simulations follow in detailthe thermal and chemical evolution of the intracluster medium as well as theevolution of super-massive black holes and their associated feedback processes.We construct full-sky maps of tSZ and kSZ from the light-cones out to z=0.17,and one realization of 8.8x8.8 degree wide, deep light-cone out to z=5.2. Thelocal universe at z<0.027 is simulated by a constrained realisation. The tailof the one-point PDF of tSZ from the deep light-cone follows a power-law shapewith an index of -3.2. Once convolved with the effective beam of Planck, itagrees with the PDF measured by Planck. The predicted tSZ power spectrum agreeswith that of the Planck data at all multipoles up to l~1000, once thecalculations are scaled to the Planck 2015 cosmological parameters with\Omega_m=0.308 and \sigma_8=0.8149. Consistent with the results in theliterature, however, we continue to find the tSZ power spectrum at l=3000 thatis significantly larger than that estimated from the high-resolutionground-based data. The simulation predicts the mean fluctuating Compton Y valueof <Y>=1.18x10^{-6} for \Omega_m=0.272 and \sigma_8=0.809. Nearly half (~5x10^{-7}) of the signal comes from halos below a virial mass of10^{13}M_\odot/h. Scaling this to the Planck 2015 parameters, we find<Y>=1.57x10^{-6}. The PDF and the power spectrum of kSZ from our simulationagree broadly with the previous work.

SZ effects in the Magneticum Pathfinder Simulation: Comparison with the Planck, SPT, and ACT results