Stella Offner edited subsubsection_Spectral_Correlation_Function_bf__.tex  over 8 years ago

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\subsubsection{Spectral Correlation Function}  {\bf the SCF is generally plotted as a single power-law. That might be more informative than the intermediate step that is being plotted here.}  The spectral correlation function (SCF) is the normalized root-mean-square difference between two spectra as a function of their projected separation \citep{rosolowsky99}. The SCF manifests as a power-law, where flatter slopes indicate more kinematic correlation across spatial scales (large hierarchical emission structures), while steeper slopes indicates less correlation between large and small scales (smaller discrete emission structures). The SCF serves as a useful comparison metric for both simulations and observations \citep{padoan99,yeremi14,gaches15}, however, no direct link between the SCF and turbulent properties has been formulated.  We calculate multiple SCFs of outputs W1T2t0.2 and T2t0 using an array projected separations ranging from (magnitudes?) of 0'' to 113" (Eric, I kept your input of "size" 11, which is the projected pixel separation. Correct me if my interpretation is wrong.). Figure 4 depicts the SCFs of our two fiducial outputs. With the exception of zero spatial offset, the SCF outputs (not sure what to call the output) of run W1T2t0.2 are smaller than the SCF outputs of run W2T2t0 are. Yet, both runs also exhibit a similar rate of change in SCF value with increasing offset.