Structures at the electrodes of gas discharges

Anode pattern formation in atmospheric pressure air glow discharges with water anode

“…However no clear reference to the conductivity of the resistive electrode is made in Ref. 9. In Fig.…”

“…1 The considerable amount of papers on this topic illustrates the interest in the plasma community for selforganization, which typically occurs in the anode or cathode layer. [2][3][4][5][6][7][8] According to Müller,9 patterns of spots occur if a bistable layer, characterized by an S-shaped voltage-current density characteristic, is in contact with a resistive medium. The resistive medium is necessary to stabilize a system of spots, i.e., to allow a potential difference at the electrode surface.…”

“…This general set of equations can be used to obtain the spatial patterns observed in different research fields. 9 The basic equations that describe a gas discharge ͑i.e., the continuity equations of the particles and the Poisson equation͒ can be fitted in this general set of reaction-diffusion equations. 7,10 The second approach consists of detailed numerical simulations of the discharge physics.…”

Exploding soliton and front solutions of the complex cubic–quintic Ginzburg–Landau equation

“…The CGLE also serves as a generic equation describing systems near sub-critical bifurcations [2,3]. It relates to a wide range of dissipative phenomena in physics, such as binary fluid convection [4], electro-convection in nematic liquid crystals [5], patterns near electrodes in gas discharges [6] and oscillatory chemical reactions [7].…”

Period doubling cascade in glow discharges: Local versus global differential conductivity

“…Negative differential conductivity of the glow discharge should then be the driving force of pattern formation. A number of authors [4,[15][16][17][18][19][20][21][22] actually have aimed at deriving such models from gas discharge physics, but not in a systematic manner.…”