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If axion-like particles (ALPs) constitute a major part of dark matter (DM),due to the bosonic nature and a relative small mass, they could behavedifferently from the point like dark matter particles on the formation of thecosmic structures. When studying the structure formation, it is often useful toconsider DM as a special fluid with a given density and a given velocity. ALPfluid obeys a same continuity equation comparing to the point-likecollisionless DM but has a different first-order velocity equation. In thelinear regime of structure formation, the resulted observational differencesare negligible for the QCD axions but can be interesting for very light ALPs.

Axion-like particle dark matter in the linear regime of structure formation