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We present infrared luminosity functions and dust mass functions for theEAGLE cosmological simulation, based on synthetic multi-wavelength observationsgenerated with the SKIRT radiative transfer code. In the local Universe, wereproduce the observed infrared luminosity and dust mass functions very well.Some minor discrepancies are encountered, mainly in the high luminosity regime,where the EAGLE-SKIRT luminosity functions mildly but systematicallyunderestimate the observed ones. The agreement between the EAGLE-SKIRT infraredluminosity functions and the observed ones gradually worsens with increasinglookback time. Fitting modified Schechter functions to the EAGLE-SKIRTluminosity and dust mass functions at different redshifts up to $z=1$, we findthat the evolution is compatible with pure luminosity/mass evolution. Theevolution is relatively mild: within this redshift range, we find an evolutionof $L_{\star,250}\propto(1+z)^{1.68}$,$L_{\star,\text{TIR}}\propto(1+z)^{2.51}$ and$M_{\star,\text{dust}}\propto(1+z)^{0.83}$ for the characteristicluminosity/mass. For the luminosity/mass density we find$\varepsilon_{250}\propto(1+z)^{1.62}$,$\varepsilon_{\text{TIR}}\propto(1+z)^{2.35}$ and$\rho_{\text{dust}}\propto(1+z)^{0.80}$, respectively. The mild evolution ofthe dust mass density is in relatively good agreement with observations, butthe slow evolution of the infrared luminosity underestimates the observedluminosity evolution significantly. We argue that these differences can beattributed to increasing limitations in the radiative transfer treatment due toincreasingly poorer resolution, combined with a slower than observed evolutionof the SFR density in the EAGLE simulation and the lack of AGN emission in ourEAGLE-SKIRT post-processing recipe.

Infrared luminosity functions and dust mass functions in the EAGLE simulation