Numerical Study Of Nonlinear Dynamics In Gas Discharge

In recent years, the nonlinear dynamics of gas discharge have been the subject of much attention due to their use in several novel applications. In this work, the nonlinear dynamics in dielectric barrier discharge at atmospheric pressure are studies from the standpoint of the gas discharge plasma and the phenomenal self-organized pattern respectively.Complex phenomena of nonlinear dynamic behaviors in dielectric barrier glow discharge at atmospheric pressure in helium have been studied by a one-dimensional fluid model. It is shown that the system has a unique oscillatory solution when the discharge is in the conventional glow discharge. As the gas gap width is increasing, the discharge system becomes unstable and undergoes a series of bifurcation. The first bifurcation from the oscillatory state gives rise to the formation of an asymmetric state, accompanying by an axis-symmetry breaking. The second bifurcation named as temporal period doubling bifurcation makes the asymmetric discharge pulses transiting into a period-two state.Motivated by gas discharge characteristics, a new three-component reaction-diffusion model has been proposed by taking surface charge into account to simulate the formation of complex Turing patterns in Turing space. It is shown that the amplitude of the activator becomes larger and only Turing patterns with unique wave number can emerge when the diffusion coefficient of the second inhibitor is large enough. If the diffusion coefficient of the second inhibitor is small, the system can exhibit complex patterns with two space scale, such as "black-eye" pattern.The interaction mechanisms among three Turing modes and their corresponding spatiotemporal patterns have been investigated by a coupled reaction diffusion systems under periodic spatial forcing. It is indicated that superlattice patterns with multiple spatial scales can only be obtained when the mode with shorter wavelength is modulated by another mode with longer wavelength. The shortest Turing mode interacts with another two modes, and results in the formation of complex spatial patterns...