  We study the chiral electric separation effect (CESE) in Weyl semimetals
(WSM). Within the model based on the kinetic equation we show that there is a
non-zero chirality current in external electric and magnetic fields. We
distinguish longitudinal, in-plane transverse, Hall, and anomalous Hall
components of the CESE. It is shown that the first two components are quadratic
in electric field and linear in magnetic field, while the Hall component is
quadratic in both the electric and magnetic fields. All three are due to the
chiral anomaly. In WSMs the chirality current can be associated with the spin
current, which can be experimentally observed.
