The theoretical treatment of particle swarms. Final report

Particle swarms come into consideration when a group of independent particles move without collision in a force field such that a fluid Hamiltonian can be written to represent the motion. Typical problems from several fields are collected and united under a single theoretical framework. The fields include such problems as fragment distributions from an exploding warhead, micrometeoroid distributions in the vicinity of the earth, charged particle distributions in a magnetic bottle, focussing of photons by heavy stars and the design of a sprinkler system for uniform wetting.