Auto-solitary solutions in a generalized model of gas discharge contraction
Leibniz-Institute of Atmospheric Physics at the University of Rostock, 18225
2 Institute of Applied Physics, Russian Academy of Sciences, 603600 Nizhny Novgorod, Russia
Revised: 5 February 2000
Published online: 15 September 2000
Stable auto-solitary solutions were found on the basis of three-dimensional numerical simulations within the simplest model under global constraint. The model involves a diffusion equation with a nonlinear source term containing both local and non-local nonlinearity. The source term was chosen so as to describe qualitatively the most fundamental peculiarities of discharge physics, namely local nonlinear increase in heating and ionization rate and non-local attenuation of electric field strength with plasma density growth. The properties of the autosolitons created by the model have been investigated employing the different parameters as control parameter. Therefore the results of calculations can be used to construct a process of plasma contraction in gas discharge.
PACS: 52.35.Sb – Solitons; BGK modes / 52.50.-b – Plasma production and heating / 52.35.Py – Plasma macroinstabilities (hydromagnetic, e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particles, flute, Rayleigh-Taylor, etc.)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000