  String theory models generically predict the existence of multiple axion-like
particle (ALP) fields, yet the majority of both theoretical and experimental
works have assumed only one ALP. In this paper, we discuss the phenomenology of
systems with multiple ALPs that can undergo oscillations akin to neutrino
oscillations. Motivated by this effect, we extend the anarchy framework, which
has been used to predict neutrino oscillation parameters, to generate the
parameters of many ALP systems. We explore the phenomenology of these ALP
anarchy models in some of the leading ALP search strategies, including the CERN
Axion Solar Telescope, magnetic white dwarfs and the gamma-ray spectra of
distant blazars. We include both the ALP-photon and the ALP-electron coupling.
We find that ALP anarchy models predict drastically different results than
single ALP models.
