\section{Mach number -- density variance relations} \red{AB: not sure we need this now} \begin{table}%[] \centering \begin{tabular}{cccc} $b$ & $\mathcal{M}_{\rm rms}$ & forcing & Ref.\\ \hline\\ 0.5 & $\sim 10$ & mixed & Padoan et al. (1997)\\ 0.26 & $\sim 6$ & solenoidal & Kritsuk et al. (2007)\\ 0.07, 0.26, 0.50 & 0.4, 1.4, 4.6 & solenoidal & Beetz et al. (2008) \\ 1.0 & 1.0 & mixed & Vasquez-Semadeni (1998) \\ 0.36, 0.43, & 5.3, 5.6 & solenoidal & Federrath et al. (2008) \\ 1.05, 0.88, 0.90 & 5.6, 5.7, 5.0 & compressive & -- '' -- \\ 1/3 - 1 & $\sim 5.5$ & mixed & Federrath et al. (2010\\ 1/3 or 1 & 0.1 -- 15 & sol. or comp. & Konstandin et al. (2012)\\ \\ \end{tabular} \end{table}