Finite bandwidth induced stochasticity in a magnetic mirror

Abstract
The electrostatic fluctuation spectrum in a magnetic mirror always has some finite bandwidth. The role of a finite bandwidth in destroying the superadiabatic motion of ions has been explored. It is found that virtually any bandwidth is sufficient to destroy the resonant island regions in velocity space; however, to destroy all of phase space, so that ions may move freely, requires a bandwidth on the other of an inverse bounce time in the mirror. Assuming such a bandwidth, the diffusion rate in the velocity space is calculated.