\begin{table}%t4 \caption{\label{tab:cvis}Scaling of the structure functions of centroid velocity increments.} %\centering \par \begin{tabular}{lcccccc} \hline \hline\noalign{\smallskip} Absolute scaling exponents~\mydotfill & $\zeta_1$ & $\zeta_2$ & $\zeta_3$ & $\zeta_4$ & $\zeta_5$ & $\zeta_6$\\ \hline\noalign{\smallskip} CVI SFs ($1024^3$ sol)\hspace{2cm} & $0.62$ & $1.20$ & $1.73$ & $2.21$ & $2.65$ & $3.05$\\ CVI SFs ($1024^3$ comp) & $0.62$ & $1.13$ & $1.52$ & $1.82$ & $2.05$ & $2.22$\\ \hline\noalign{\smallskip} Relative Scaling Exponents~\mydotfill & $\widetilde{\zeta}_1$ & $\widetilde{\zeta}_2$ & $\widetilde{\zeta}_3$ & $\widetilde{\zeta}_4$ & $\widetilde{\zeta}_5$ & $\widetilde{\zeta}_6$\\ \hline\noalign{\smallskip} CVI SFs using ESS\tablefootmark{a} ($1024^3$ sol) & $0.36$ & $0.70$ & $1.00$ & $1.27$ & $1.51$ & $1.72$\\ CVI SFs using ESS\tablefootmark{a} ($1024^3$ comp) & $0.38$ & $0.72$ & $1.00$ & $1.23$ & $1.41$ & $1.56$\\ \object{Polaris Flare}\tablefootmark{b} & $0.37$ & $0.70$ & $1.00$ & $1.27$ & $1.53$ & $1.77$\\ \object{Polaris Flare}\tablefootmark{c} & $0.38$ & $0.71$ & $1.00$ & $1.28$ & $1.54$ & $1.80$\\ Intermittency Model SL94\tablefootmark{d} & $0.36$ & $0.70$ & $1.00$ & $1.28$ & $1.54$ & $1.78$\\ Intermittency Model B02\tablefootmark{e} & $0.42$ & $0.74$ & $1.00$ & $1.21$ & $1.40$ & $1.56$\\ \hline \end{tabular} \tablefoot {\tablefoottext{a}{Using extended self-similarity (ESS) \citep{BenziEtAl1993}.} \\ \tablefoottext{b}{Measurement of CVI structure functions by \citet{HilyBlantFalgaronePety2008}.}\\ \tablefoottext{c}{Measurement of CVI structure functions by \citet{HilyBlantFalgaronePety2008} using $^{12}$CO(2$-$1)~data by \citet{BenschStutzkiOssenkopf2001}.}\\ \tablefoottext{d}{Intermittency model $\widetilde{\zeta}_p=p/9+\mathcal{C}\left(1-\left(1-2/(3\mathcal{C})\right)^{p/3}\right)$ defined in Eq.~(\ref{eq:intermittencymodel}) using a fractal co-dimension $\mathcal{C}=2$ \citep{SheLeveque1994}, which corresponds to filamentary structures ($\mathcal{D}=1$).}\\ \tablefoottext{e}{Same as $^d$, but for co-dimension $\mathcal{C}=1$ \citep{Boldyrev2002,BoldyrevNordlundPadoan2002} corresponding to sheet-like structures ($\mathcal{D}=2$).}} \vspace*{3mm} \end{table}