\begin{table}%t3
\caption{\label{tab:efficiencies}Derived energy input and decay rates and corresponding minimum efficiencies.}
%\centerline
{
%\begin{tabular}{rcccccccccccr}
\begin{tabular}{r@{~~}c@{~~~}c@{~~}c@{~~}c@{~~}c@{~~}c@{~~}c@{~~~~~}c@{~~~}c@{~~~}c@{~~}c}
\hline\hline\\[-0.3cm]
% & $\dot{E}_{\rm in}$ & $\dot{E}_{\rm decay}^{\rm HD}$ & $\epsilon^{\rm HD}$ & $\dot{E}_{\rm decay}^{\rm pot}$ & $\epsilon^{\rm pot}$ & $\dot{E}_{\rm decay}^{\rm R_{25}}$ & $\epsilon^{\rm R_{25}}$ & $E_{\rm kin}$  & $f_{>R_{25}}^{E_{\rm kin}}$ & $f_{>R_{25}}^{\dot{E}_{\rm decay}^{\rm HD}}$  & $\epsilon_{>R_{25}}$\\
& $\dot{E}_{\rm in}$ & $|\dot{E}_{\rm decay,HD}|$ & $\epsilon_{\rm HD}$ & $|\dot{E}_{\rm decay,pot}|$ & $\epsilon_{\rm pot}$ & $|\dot{E}_{\rm decay,R_{25}}|$ & $\epsilon_{\rm R_{25}}$ & $E_{\rm kin}$  & $f_{>R_{25}}^{E_{\rm kin}}$ & $f_{>R_{25}}^{\dot{E}_{\rm decay,HD}}$  & $\epsilon_{>R_{25}}$
\\
& $10^{39}~$erg$~$s$^{-1}$ &   $10^{39}~$erg$~$s$^{-1}$   & &    $10^{39}~$erg$~$s$^{-1}$   & &    $10^{39}~$erg$~$s$^{-1}$   &  &  $10^{54}~$erg & & &
\\
Name &{\em (1)} & {\em (2)} & {\em (3)} & {\em (4)} & {\em (5)} & {\em (6)} & {\em (7)} & {\em (8)} & {\em (9)} & {\em (10)} & {\em (11)}~  \\
\hline  
NGC 5194 &     92.39 &      3.41 &    0.037 &       7.08 &    0.077 &       0.45 &   0.005 &    28.20 &      0.26 &      0.17 &    0.006 \\ 
 NGC 628 &     18.48 &      1.97 &    0.106 &       2.06 &    0.111 &       0.06 &   0.003 &     8.39 &      0.38 &      0.28 &    0.027 \\ 
NGC 3184 &     19.90 &      0.82 &    0.041 &       0.96 &    0.048 &       0.04 &   0.002 &    11.03 &      0.21 &      0.13 &    0.005 \\ 
NGC 3351 &      ~8.96 &      0.16 &    0.018 &       1.08 &    0.121 &       0.06 &   0.006 &     ~7.12 &      0.15 &      0.17 &    0.003 \\ 
NGC 6946 &     60.07 &      4.44 &    0.074 &       5.63 &    0.094 &       0.28 &   0.005 &    17.01 &      0.32 &      0.29 &    0.020 \\ 
NGC 5055 &     30.54 &      1.56 &    0.051 &       3.59 &    0.117 &       0.15 &   0.005 &    58.98 &      0.31 &      0.15 &    0.008 \\ 
NGC 4736 &      ~3.47 &      0.52 &    0.151 &       6.42 &    1.848 &       0.29 &   0.083 &     ~3.52 &      0.17 &      0.12 &    0.018 \\ 
NGC 7793 &      ~2.72 &      1.87 &    0.686 &       1.95 &    0.716 &       0.13 &   0.050 &     ~3.57 &      0.17 &      0.07 &    0.047 \\ 
 IC 2574 &      ~0.24 &      2.18 &    9.009 &       0.60 &    2.459 &       0.10 &   0.417 &     ~4.52 &      0.28 &      0.18 &    1.600 \\ 
NGC 4214 &      ~0.06 &      1.28 &   $\!\!$22.457 &       1.17 &   $\!\!$20.549 &       0.21 &   3.653 &     ~1.33 &      0.49 &      0.42 &    7.831 \\ 
   HO II &      ~0.04 &      1.77 &   $\!\!$50.070 &       0.67 &   $\!\!$19.065 &       0.17 &  4.900 &     ~1.81 &      0.59 &      0.50 &   $\!\!\!$18.554 \\ 
\hline
\end{tabular}}
\tablefoot{{\em (1)} Total kinetic energy provided by infalling gas, calculated from Eq.~(\ref{eqn:dissip1}) using $\dot{M} = \dot{M}_{\rm SF}$ and $v_{\rm in} = v_{\rm rot}$. {\em (2)} Total dissipation rate of turbulent kinetic energy $|\dot{E}_{\rm decay,HD}|$ obtained from integrating Eq.~(\ref{eqn:dissip}) over the entire galaxy using $L_{\rm d}$ derived from vertical hydrostatic equilibrium. {\em (3)}~Minimum efficiency $\epsilon_{\rm HD} = |\dot{E}_{\rm decay,HD}|/\dot{E}_{\rm in}$ required for the conversion of infall motion into turbulent energy in the disk. {\em (4)}  Integrated turbulent decay rate $|\dot{E}_{\rm decay,pot}|$ based on the  potential method. {\em (5)} Corresponding minimum efficiency $\epsilon_{\rm pot}$.  {\em (6)}  Integrated turbulent decay rate $|\dot{E}_{\rm decay,R_{25}}|$ based on the assumption that the outer scale of the turbulent velocity field  is equal to the size of the disk $L_{\rm d} \sim2~R_{25}$. {\em (7)} The corresponding required minimum efficiency $\epsilon_{\rm R_{25}}$ for accretion driven turbulence to work.  {\em (8)}  Total kinetic energy $E_{\rm kin}$ integrated over the whole galaxy.  {\em (9)}~Fraction of total kinetic energy outside the optical radius $R_{25}$.  {\em (10)} Fraction of turbulent energy decay rate outside of $R_{25}$ using the disk vertical scale height from hydrostatic balance. The total rate is given in Col.~(2).  {\em (11)} Corresponding required accretion efficiency to drive the turbulence in the outer disk for $R > R_{25}$. Compare to the total galactic value given in Col.~(3). The outer disk value is typically a factor of 5~lower.}\vspace*{2mm}
\end{table}