Table A.1: Physical meaning of non-dimensionalised plasma quantities.
Quantity Description Ref.
$n_{\pm}$ 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  (11)
$\Delta $ difference between e+-e- number densities  (12)
$\sigma$ average radial plasma flow  (13)
$\delta$ difference between e+-e- radial velocities  (14)
$\chi$ average azimuthal plasma flow  (15)
$\zeta$ difference between e+-e- azimuthal velocities (16)
$\rho $ radial electric field  (17)
$\theta $ azimuthal electric field  (18)
$\beta $ magnetic field  (19)
$\xi $ non-dimensionalised radial coordinate  (20)
$\tau $ non-dimensionalised time coordinate  (21)
$\omega_{0}$ plasma frequency  (22)
$\kappa_{0}$ a constant parameter  
$\kappa_{1}$ a constant parameter  
$\kappa_{2}$ a constant parameter  
$\mathcal{L}_{0}$ operator  (68)
$\mathcal{L}$ operator  (69)
$\mathcal{K}$ operator  (70)
$\mathcal{D}$ operator  (78)
Ci set of constants  

Source LaTeX | All tables | In the text