Recently, it turned out that the chiral anomaly gives rise to
macroscopic transport phenomena. On such example is the chiral
magnetic effect(CME), which is a phenomenon that an electric current
is generated along an applied magnetic field. Those currents are
non-dissipative, and are naturally incorporated into hydrodynamic
equations, which are called anomalous hydrodynamics.
Theoretically, the CME should be happening in heavy-ion collisions.
The data reported by STAR and PHENIX collaborations at RHIC and ALICE
collaborations at the LHC show a behavior consistent with the CME, but
the quantitative understanding is still lacking. In order to reach a
definitive conclusion, a reliable theoretical tool that can describe
the charge-dependent observables is indispensable. In this talk, we
report our recent attempt of quantitative modeling of the CME for
heavy-ion collisions. Basing on the event-by-event hydrodynamic
simulations for hundreds of thousands of collisions, we calculate the
correlation functions that are measured in experiments, and discuss
how the anomalous transports affect the observables. If time allows, I
will also talk about the change of the topology of magnetic fields
caused by the chiral anomaly.