Interaction of "solitons" in a collisionless plasma
and the recurrence of initial states.
The graduate textbook explains the theory of charged particle motion in weakly inhomogeneous electric and magnetic fields, how the magnetic confinement of a collisionless plasma
works at an individual particle level, the ensemble-averaged kinetic equation, and how fluid equations are obtained by taking low-order moments of the kinetic equation.
It is a common knowledge that an incident EM wave can propagate in a collisionless plasma
above electron plasma frequency [[omega].
Intergalactic space is believed to consist of a collisionless plasma
mostly of hydrogen.
How do you heat an essentially collisionless plasma to the temperatures required for fusion and how do you accurately remotely diagnose the complex dynamics of the plasma at both large and small scales to test your understanding of the system?
Understanding how waves propagate and are absorbed in nearly collisionless plasma was a scientific challenge.
Individual topics include hydrodynamic limits of kinetic models, collisionless plasmas
and the Vlasov Maxwell system, irreversible behaviors in Vlasov equation and many-body Hamiltonian dynamics in terms of Landau damping, chaos and granularity, guiding center theory, variational formulation of exact and reduced Vlasov-Maxwell equations, general gyrokinetic theory (including an article with applications in magnetic confinement research in plasma plastics) kinetic to fluid descriptions in plasmas, nonlocal closures in long mean free path regimes, modeling quantum plasmas and inelastic kinetic theory in terms of the granular gas.