Axion Quark Nugget Dark Matter: Time Modulations and Amplifications
  We study the new mechanism of the axion production suggested recently in
[1,2]. This mechanism is based on the so-called Axion Quark Nugget (AQN) dark
matter model, which was originally invented to explain the similarity of the
dark and visible cosmological matter densities. We perform numerical
simulations to evaluate the axion flux on the Earth's surface. We examine
annual and daily modulations, which have been studied previously and are known
to occur for any type of dark matter. We also discuss a novel type of short
time enhancements which are unique to the AQN model: the statistical
fluctuations and burst-like amplification, both of which can drastically
amplify the axion signal, up to a factor $\sim10^2-10^3$ for a very short
period of time. The present work studies the AQN-induced axions within the mass
window $10^{-6}{\rm\,eV}\lesssim m_a\lesssim10^{-3}\rm\,eV$ with typical
velocities $\langle v_a\rangle\sim0.6c$. We also comment on the broadband
detection strategy to search for such relativistic axions by studying the daily
and annual time modulations as well as random burst-like amplifications.
