deletions | additions       diff --git a/The simulation.tex b/The simulation.tex  index 30f4be9..a16736b 100644  --- a/The simulation.tex  +++ b/The simulation.tex 
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\end{equation}  for wavenumbers $2 < k/2 \pi} < 4$. Similarly to, e.g., \citet{Federrath_2013}, turbulence on smaller length scales was generated self-consistently from the large scale driving. The driving continued until the box reached a saturated state at a Mach number $\scriptstyle{M}$ of roughly 8. During this driving stage we did not include gravitational forces.  At this point we scaled the box to a physical length $L $S  = 10$ pc, $H_2$ number density of 100 cm$^{-3}$ at mean molecular weight $\mu=2.33$, and a constant sound speed $c_s$ = 0.2 km s$^{-1}$. After turning off the forcing and turning on self gravity, we turned the simulation over the adaptive mesh refinement (AMR) code RAMSES \citep{2002A&A...385..337T}. The $1024^{3}$ base grid was maintained, along with 2 steps of adaptive refinement triggered when the local Jeans length became shorter than 4 grid cells \citep{1997ApJ...489L.179T}. We integrated the box through $\sim1.25$ Myr of self gravitation evolution. Following \citet{2007ApJ...665..416K}'s definition of the turbulent turnover time in a box , $T_{turb} = L/(2 S/(2  c_s \scriptstyle{M})$, we have $T_{turb} \sim 3$ Myr. The free-fall time $T_{ff} = (3\pi / (32 G \rho))^{1/2}$, at the mean density of the simulation, is also roughly 3 Myr. Below we analyse denser gas, with $10^3 < n/{\rm cm}^{-3} < 10^{4.5}$; at these densities we have $0.3 \lesssim T / \rm{Myr} \lesssim 1.0$. At 1.25 Myr the global structure of the simulated box is then dominated by the turbulence, while the denser gas has had time to become organized by self gravity.