Self-consistent island overlap and resonant mixing
D. del-Castillo-Negrete (ORNL)
In this project we present a numerical study of self-consistent island overlap and resonant mixing in the context of the single wave model (SWM). The SWM is a general mean-field model that describes the weakly nonlinear dynamics of marginally stable plasmas and fluids. We construct integrable solutions of the SWM, and illustrate the concept of self-consistent resonant mixing by following numerically the evolution of perturbed integrable solutions. Using Fourier analysis we construct kinematic effective Hamiltonians.
Self-consistent resonant mixing in the single wave model. Panel (a) shows a contour plot of the initial condition consisting of two resonances. Panels (b) and (c) show the state at t=5, and t=50. Due to resonant mixing, the secondary resonance grows, and the self-consistent resonance overlap gives rise to higher order resonances that are also observed in the Poincare plot of the effective Hamiltonian in panel (d).
Reference:
"Self-consistent dynamics in the Single Wave Model."
del-Castillo-Negrete, D.