We discuss the triangle anomalous hydrodynamics in the presence of an external magnetic field B µ. Without loss of generality, we consider the case of a conserved vector current and non-conserved axial current. In order to ensure the positivity of the entropy production rate, two new terms proportional to the magnetic field B µ and the vorticity ω µ, which are associated with the Chiral Magnetic Effect and Chiral Vortical Effect in heavy ion collisions, need to be introduced. The transport coefficients of these new terms are also determined by the entropy principle.
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