Phyisic-mathematic models of electric field cumulation in dissipative structures in gas discharge plasma

F. I. Vysikailo ; M. I. Kuzmin ; A. S. Tivkov ; B. V. Chekalin ; V. A. Chernov

Matematičeskoe modelirovanie, Tome 18 (2006) no. 11, pp. 104-116

Résumé

In this work analytical and numerical models of the Coulomb cumulation of dynamic order parameters ($E/N$, $n_e/N$) in dissipative structures were proposed. Investigation was conducted in terms of ambipolar drift and ionization. Given model can be applied for analytical and numerical description of initial stage of cumulation processes ($E^2/8\pi\gg H^2/8\pi$) in arc discharge periphery, linear or ball lightnings, cathode spots and others spherical, conical and plane plasma dissipative structures – so called plasmoids, observed in so far “riddle” plasma structures. It was shown that in contrast to Turing's regular disspative structures (1952) non-linear profiles of dynamic order parameters in cumulative-dissipative structures (Vysikaylo Ph. I. 1996) are described not in terms of diffusion, but in terms of ambipolar drift convection processes, focusing (cumulating) electrical field energy ($E^2/8\pi$).