Collisional effects in low collisionality plasmas

The effects of collisions are often neglected in theoretical analyses of low collisionality plasmas where the collision rate ν is smaller than the frequency of waves or other physical processes being considered. However, small angle Coulomb collisions scatter the velocity vector v of charged particles and produce slightly probabilistic rather than fully deterministic charged particle trajectories in a plasma. These diffusive effects produce an effective collision rate νeff∼ν/(|δv|/ν)2≫ν for relaxation of plasma responses localized to a small region δv in velocity space. In particular, they create narrow dissipative boundary layers in the vicinity of resonant collisionless responses of the plasma to waves which resolve these singular responses and create temporal irreversibility. A new Green-function-based procedure is being developed for exploring these low collisionality effects. This new procedure is first used to explore Coulomb collisional scattering effects on the temporal evolution of the linear Lan...