The history of cosmic rays in a dynamical halo - A retrodictive probability approach

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Abstract
Consideration is given to a model of cosmic-ray propagation which contains convective outflow in the halo and which is based on theories of retrodictive probability and a time-reversed diffusion equation. A formula is derived for propagating backward in time the particle population in the disk. It is found that contrary to the majority of cosmic rays, the particles have never been far from the disk. In terms of disk particles it is noted that halo models with outflow may be replaced by purely diffusive models having an effective half-thickness not greater than the actual halo thickness. Disk particles are not associated with those that travel further into the halo than the effective halo thickness. This explains the presence of radio evidence for an extensive halo and gamma-ray data which indicates that the distribution of cosmic rays in the disk is strongly source-dominated.

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