We study the relativistic hydrodynamics with chiral anomaly and dynamical electromagnetic fields, namely Chiral MagnetoHydroDynamics (CMHD). We formulate the CMHD as a low-energy effective theory based on a derivative expansion. We demonstrate the modification of ordinary MagnetoHydroDynamics (MHD) due to chiral anomaly can be obtained from the second law of... Show more