[CII] Emission in a Self-Regulated Interstellar Medium

Abstract: The [CII] 157.74 $\mu$m fine structure transition is one of the brightest and most well-studied emission lines in the far-infrared (FIR), produced in the interstellar medium (ISM) of galaxies. We study its properties in sub-pc resolution hydrodynamical simulations for an ISM patch with gas surface density of $\Sigma_{\rm{g}}=10\;M_{\odot}\;\rm{pc}^{-2}$, coupled with time-dependent chemistry, far-ultraviolet (FUV) dust and gas shielding, star formation, photoionization and supernova (SN) feedback, and full line-radiative transfer. The [CII] 157.74 $\mu$m line intensity correlates with star formation rate (SFR), and scales linearly with metallicity, and is, therefore, a good SFR tracer even in metal-poor environments, where molecular lines might be undetectable. We find a [CII]-to-H$_2$ conversion factor that is well described by the power law $X_{\rm{[CII]}}=6.31\times 10^{19} \;Z^{\prime\;0.17}\; (\rm{cm}^{-2}\;(\rm{K}\;\rm{km}\;\rm{s}^{-1})^{-1})$. Our results are in agreement with galaxy surveys in all but the lowest metallicity run. We find that resolving the clumpy structure of the dense interstellar medium (ISM) is important as it dominates [CII] 157.74 $\mu$m emission. We compare our full radiative transfer computation with the optically-thin limit, and find that [CII] emission only begins approaching the optically thick limit at super-solar metallicity, for our assumed gas surface density.