Nonlinear Transport in Weakly Ionized Plasma

A set of equations are derived for the amplitudes of the oscillating modes which arise in a slightly unstable weakly ionized plasma. The plasma is initially in a time-independent but spatially dependent and linearly stable equilibrium. It becomes unstable upon a small fractional increase Δ of some external parameter. The amplitudes of the final steadily oscillating states, the frequency shifts of these states, and the transport rates are determined in terms of Δ.