Europhys. Lett.
Volume 73, Number 2, January 2006
Page(s) 190 - 196
Section General
Published online 14 December 2005
Europhys. Lett., 73 (2), pp. 190-196 (2006)
DOI: 10.1209/epl/i2005-10392-7

Turing structures in dc gas discharges

S. Popescu

"Al. I. Cuza" University - 700506 Iasi, Romania

received 26 September 2005; accepted in final form 28 November 2005
published online 14 December 2005

Self-organized spatial plasma structures exhibit many similarities with Turing structures obtained in biology and chemistry. Using an analytical mesoscopic approach, it is shown that plasma balls of fire belong to the same class of Turing structures like the Brusselator. It is also mathematically proved that the existence of these self-organized plasma structures is related with a negative differential resistance. There are also established the mathematical conditions which the negative differential resistance must satisfy for obtaining a stationary ball of fire at the anode of a plasma diode.

05.65.+b - Self-organized systems.
52.40.Kh - Plasma sheaths.
82.40.Ck - Pattern formation in reactions with diffusion, flow and heat transfer.

© EDP Sciences 2006