A localized cathode glow in the presence of a bar magnet and its associated nonlinear dynamics

A localized glowing, fireball like structure, appears near the cathode surface of a glow discharge plasma device when it is subjected to a magnetic dipole field produced by a bar magnet placed outside the plasma chamber. It is seen that the plasma density in the localized glow region and the luminous intensity of this structure increases with the increase in the magnetic field strength. The effect of such localized glow region on the plasma floating potential fluctuation dynamics is investigated. Floating potential fluctuations show that the emergence of such localized structure leads the system towards nonlinear dynamical regimes. Increasing the magnetic field strength reveals a transition from order to chaos via period doubling bifurcation. This transition is analyzed by using bifurcation diagram, phase space plots, power spectrum plots, Hilbert Huang transform, and by estimating the largest Lyapunov exponent. The interaction of plasma with a dipole magnetic field produces a non-monotonic potential structure in the vicinity of the cathode surface. Thus, to understand the dynamical origin of such complex oscillations, we have carried out a numerical modelling for ion dynamics by considering trapping of ions inside the potential structure. Numerical results show the existence of period doubling route to chaos.