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The Effects of Metallicity and Abundance Pattern of the ISM on Supernova Feedback

Supernova (SN) feedback plays a vital role in the evolution of galaxies. While modern cosmological simulations capture the leading structures within galaxies, they struggle to provide sufficient resolution to study small-scale stellar feedback, such as the detailed evolution of SN remnants. It is thus common practice to assume subgrid models that are rarely extended to low metallicities, and which routinely use the standard solar abundance pattern. With the aid of 1-d hydrodynamical simulations, we extend these models to consider low metallicities and non-solar abundance patterns as derived from spectra of Milky Way stars. For that purpose, a simple, yet effective framework has been developed to generate non-solar abundance pattern cooling functions. We find that previous treatments markedly over-predict SN feedback at low metallicities and show that non-negligible changes in the evolution of SN remnants of up to $\approx 50\%$ in $cooling\; mass$ and $\approx 27\%$ in $momentum\; injection\; from\; SN\; remnants$ arise from non-solar abundance patterns. We use our simulations to quantify these results as a function of metallicity and abundance pattern variations and present analytic formulae to accurately describe the trends. These formulae have been designed to serve as subgrid models for SN feedback in cosmological hydrodynamical simulations.