A “magnetohydrodynamiclike” theory has been previously developed for chaotic nonintegrable proton orbits which occur in highly stressed magnetic configurations. In this paper we give the solution to the Vlasov equation to next order in expansion of the particle bounce motion. The new contribution, a Boltzmann-like operator, provides a collisionless dissipation mechanism which may destabilize drift or drift ballooning Alfvén waves in high $\beta$ plasmas. We discuss a number of applications of this new, potentially reconnective, mechanism in the magnetosphere, in stellar wind formation, and in the galactic dynamo.

• Received 23 May 1996

DOI:https://doi.org/10.1103/PhysRevLett.77.4354