\begin{table}%TA.1
%\centering
\small
\caption{Physical meaning of non-dimensionalised plasma quantities.}
\label{table3} 
\begin{tabular}{c l c}
\hline\hline
Quantity & Description & Ref.  \\
\hline
$n_{\pm}$ & particle number density of e$^{\pm}$ & \\
$\vec{u}$, $\vec{v}$ & fluid velocity of e$^{\pm}$ & \\
$\vec{E}$ & electric field & \\
$\vec{B}$ & magnetic field & \\
$(r,\theta,z)$ & cylindrical polar coordinates & \\
$\Sigma$ &  average plasma number density &~(\ref{xidefn}) \\
$\Delta$ &  difference between e$^{+}$$-$e$^{-}$ number densities &~(\ref{nondim2}) \\
$\sigma$ &  average radial plasma flow &~(\ref{nondim3}) \\
$\delta$ &  difference between e$^{+}$$-$e$^{-}$ radial velocities &~(\ref{nondim4}) \\
$\chi$ &  average azimuthal plasma flow &~(\ref{nondim5}) \\
$\zeta$ &  difference between e$^{+}$$-$e$^{-}$ azimuthal velocities&(\ref{nondim6}) \\
$\rho$ & radial electric field &~(\ref{nondim7}) \\
$\theta$ &  azimuthal electric field &~(\ref{nondim8}) \\
$\beta$ &  magnetic field &~(\ref{nondim9}) \\
$\xi$ &  non-dimensionalised radial coordinate &~(\ref{nondim10}) \\
$\tau$ &  non-dimensionalised time coordinate &~(\ref{nondim11}) \\
$\omega_{0}$ & plasma frequency &~(\ref{nondim12}) \\
$\kappa_{0}$ & a constant parameter & \\
$\kappa_{1}$ & a constant parameter & \\
$\kappa_{2}$ & a constant parameter & \\
$\mathcal{L}_{0}$ & operator &~(\ref{Lop}) \\
$\mathcal{L}$ & operator &~(\ref{L}) \\
$\mathcal{K}$ & operator &~(\ref{main1}) \\
$\mathcal{D}$ & operator &~(\ref{zero})\\
$C_{i}$ & set of constants & \\
\hline
\end{tabular}
\end{table}