  The energy dependence of observable two particle correlator in search for the
local strong parity violation in Au+Au collisions is estimated within a simple
phenomenological model. The model reproduces available RHIC data but at LHC
predicts that the Chiral Magnetic effect (CME) will be about 20 times weaker
than at RHIC, contrary to the first LHC measurements. In the lower energy range
this effect should vanish sharply at energy somewhere above the top SPS one
with agreement with the preliminary results of the Beam Energy Scan program. To
elucidate CME background effects a transport HSD model including magnetic field
evolution is put forward and electromagnetic dynamics at the RHIC energy is
investigated. It is observed that the electromagnetic field included into the
hadronic model does not influence on observables due to mutual compensation of
effects of electric and magnetic fields.
