deletions | additions       diff --git a/subsection_Fourier_Statistics_In_this__.tex b/subsection_Fourier_Statistics_In_this__.tex  index 0393e4c..2cc6862 100644  --- a/subsection_Fourier_Statistics_In_this__.tex  +++ b/subsection_Fourier_Statistics_In_this__.tex 
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%To quantity the VCS, we fit the 1D power spectrum to the segmented linear model used Koch et al. (2015).   Figures 6 and 7 show the VCA and VCS power law fits, respectively, for outputs W1T2t0.2 and T2t0. VCA produces similarly sloped power laws for both runs, but there is a constant horizontal offset. This implies that at all spatial scales output W1T2t0.2, our run with feedback, has more energy than that of output T2t0. However, since the curves are otherwise indistinguishable, very similar,  we conclude VCA is not useful for characterizing feedback properties or comparing the turbulent properties of different clouds. In Figure 7, VCS also shows a horizontal offset between the two curves.   However, we also note a difference in both VCS power-law fits, and, more importantly, the break point between the two fits. Physically, this transition point indicates the scale at which the dispersion of the density fluctuations is equal to the mean density (e.g, Lararian \& Pogosyan 2006). \citet{lazarianp08} define this break as $k_{cr} = \Delta V_{r_0}^{-1} \simeq \sigma(L)^{-1} (r_0/L)^{-1/4}$, where $\sigma(L)$% = D_z(L)^{1/2}$ $D_z(L)$ is the variance