1.
Chen, White, and Rosenbluth - PRL 52 (1984) 1122.
This
is a fundamental work for fusion plasma physics because the concept of resonant
modes is introduced and thoroughly explained. This concept goes beyond the familiar
idea of plasma eigenmode excitation via wave-particle
resonant interactions. It is intimately connected with the resonant mode
excitation at the characteristic frequency of energetic particles, which is a
``continuum" of frequencies, parameterized by the dependencies in the
particle distribution function. Evidently, resonant modes are not plasma eigenmodes and, as such, they cannot be excited in the
absence of energetic particles: thus, they exist only above the excitation
threshold set by the background plasma damping. In the present case, this is
the internal kink mode damping due to the shear Alfvén
continuum spatial resonance. The internal kink mode is resonantly excited at
the precession frequency of magnetically trapped particles. This phenomenon is
observed experimentally as fishbone oscillations: a remarkable example of
successful theoretical explanation of complex experimental behaviors.
2.
Chen - Phys. Plasmas 1 (1994) 1519.
In
this work, the profound link between shear Alfvén continuous
spectrum and the Energetic Particle driven continuum Modes (EPM) is fully
unveiled. EPMs, as resonant modes, are naturally
excited as shear Alfvén waves when resonant drive
overcomes continuum damping. The theoretical prediction of EPMs
is a milestone in burning plasma magnetic fusion energy research. This is the
case because of the robust wave-particle resonant interaction of MeV fusion products with |v|≈VA.
EPMs are expected to be excited in the plasma core,
where the energetic ion (fusion product) energy density is highest and where
TAE and other discrete modes are expected to be strongly damped by continuum
damping and/or ion Landau damping. The resonant character of EPMs makes them the optimal scattering mechanism for
energetic ions, since modes tend to follow the particle free energy source as
it is displaced. For this reason EPMs are one of the
most studied topics in burning plasma physics research, both theoretically and
experimentally. In this case, an important and fundamental physical phenomenon
was predicted theoretically before clear experimental evidence.