  Axions, the hypothetical particles restoring the charge-parity symmetry in
the strong sector of the Standard Model, and one of the most prone candidates
for dark matter, are well-known to interact with plasmas. In a recent
publication [Phys. Rev. Lett. {\bf 120}, 181803 (2018)], we have shown that if
the plasma dynamically responds to the presence of axions, then a new
quasi-particle (the axion plasmon-polariton) can be formed, being at the basis
of a new generation of plasma-based detection techniques. In this work, we
exploit the axion-plasmon hybridization to actively produce axions in streaming
magnetized plasmas. We show that, if we make the plasma unstable via the
injection of an energetic electron beam (beam-plasma instability), an
appreciable production rate of few axions per minute can be achieved. The
produced axions can then be detected by Primakoff decay into photons.
