Pattern dynamics in a two-dimensional gas discharge system : Intermittent collapse and recreation, moving of spots, dynamic change of clusters

Abstract

Reaction-diffusion equation model for a 2-dimensional gas discharge system is introduced in close relationship with the recent experiment by Nasuno. The model shows formation of spots, molecule-like organization of a cluster of spots, moving of spots, and intermittent collapse and recreation of spots, in agreement with experiments. The pattern dynamics are classified into distributed, localized, and moving spots, and periodic wave pattern. The phase diagram displayed against the current and pressure has some agreement with that observed in the experiment. Dynamic change of spot numbers as well as the structure of the spot cluster is studied in terms of the collective flow of charge, and discussed as chaotic itinerancy.