Model of Burgers Turbulence for Turbulent Ionization Waves

Abstract

Turbulent ionization waves in the positive column of glow discharge are investigated theoretically. It is shown that the turbulent ionization waves can be described by a model of Burgers turbulence. The closed equation by means of the modified cumulant approximation is solved numerically for a typical initial condition. The squared density spectrum is shown to agree with the experimental results.