  The origin of the excess of matter over antimatter in our Universe remains
one of the fundamental problems. The dynamical baryogenesis in the process of
the broken symmetry electroweak transition in the expanding Universe is the
widely discussed model where the baryonic asymmetry is induced by the quantum
chiral anomaly. We discuss the modelling of this phenomenon in superfluid 3He
and superconductors where the chiral anomaly is realized in the presence of
quantized vortex, which introduces the nodes in the energy spectrum of the
fermionic quasiparticles. The spectral flow of fermions through the nodes
during the vortex motion leads to creation of the fermionic charge from the
superfluid vacuum and to transfer of the superfluid linear momentum into the
heat bath, thus producing an extra force on the vortex, which in some cases
compensates the Magnus force. This spectral-flow force was calculated 20 years
ago by Kopnin and Kravtsov for s-wave superconductors, but only recently it was
measured in a broad temperature range in Manchester experiments on rotating
superfluid 3He. The "momentogenesis" observed in 3He is analogous to the
dynamical production of the baryons by cosmic strings. Some other possible
scenaria of the baryogenesis related to superfluid 3He are discussed.
