# Regensburg 2002 – wissenschaftliches Programm

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# DY: Dynamik und Statistische Physik

## DY 46: Poster

### DY 46.45: Poster

### Donnerstag, 14. März 2002, 15:30–18:00, D

**Two-dimensional hydrodynamic model of ac gas-discharge** — •G.G. Samsonidze^{1,2}, A.L. Zanin^{1}, and H.-G. Purwins^{1} — ^{1}Westfälische Wilhelms-Universität Münster, Institut für Angewandte Physik, Corrensstr. 2/4, 48149 Münster — ^{2}A. F. Ioffe Physico-Technical Institute, Russian Academy of Sciences, 194021 St. Petersburg

In certain gas-discharge parameter ranges the essential nonlinearity in the plasma response may lead to some nonlinear effects: filaments creation, their moving and interaction with each other or shock waves propagation. When the mean free path of electron-atom collisions is much shorter than the gas gap length, the hydrodynamic model may be used. The hydrodynamic description provides a resonable approximation for electron (or positive ion) concentration and velocity profiles. It is much simpler and more transparent to use than the full kinetic-theory approach based on the Boltzman equation. The hydrodynamic equations for gas-discharge species (electrons, positive ions and metastable atoms) may be derived from mass, momentum, and energy balance equations [1]. The momentum and energy relaxation caused by scattering of the gas-discharge species can be accounted for by relaxation terms in the momentum and energy conservation equations in the form of internal friction and viscosity. The electric potencial in the gas-discharge area is determined through the two-dimensional Poisson‘s equation. When electron-atom collisions are mostly ellastic energy balance equations may be neglected.

[1] L.D.Landau and E.M.Lifshitz: Fluid Mechanics, Pergamon, Oxford, 1978