In two recent papers (arXiv:1106.4546, arXiv:1107.0721), we introduced
"dynamical dark matter" (DDM), a new framework for dark-matter physics in which
the requirement of stability is replaced by a delicate balancing between
lifetimes and cosmological abundances across a vast ensemble of individual
dark-matter components whose collective behavior transcends that normally
associated with traditional dark-matter candidates. We also presented an
explicit model involving axions in large extra spacetime dimensions, and
demonstrated that this model has all of the features necessary to constitute a
viable realization of the general DDM framework. In this paper, we complete our
study by performing a general analysis of all phenomenological constraints
which are relevant to this bulk-axion DDM model. Although the analysis in this
paper is primarily aimed at our specific DDM model, many of our findings have
important implications for bulk axion theories in general. Our analysis can
also serve as a prototype for phenomenological studies of theories in which
there exist large numbers of interacting and decaying particles.Comment: 48 pages, LaTeX, 13 figures, 1 tabl