We consider the hydrodynamic regime of theories with quantum anomalies for
global currents. We show that a hitherto discarded term in the conserve current
is not only allowed by symmetries, but is in fact required by triangle
anomalies and the second law of thermodynamics. This term leads to a number of
new effects, one of which is chiral separation in a rotating fluid at nonzero
chemical potential. The new kinetic coefficients can be expressed, in a unique
fashion, through the anomalies coefficients and the equation of state. We
briefly discuss the relevance of this new hydrodynamic term for physical
situations, including heavy ion collisions.Comment: 4 pages; v2: error in Eq.(4) correcte