Anomalous-hydrodynamic analysis of charge-dependent elliptic flow in heavy-ion collisions

Abstract

Anomalous hydrodynamics is a low-energy effective theory that captures effects of quantum anomalies. We develop a numerical code of anomalous hydrodynamics and apply it to dynamics of heavy-ion collisions, where anomalous transports are expected to occur. This is the first attempt to perform fully non-linear numerical simulations of anomalous hydrodynamics. We discuss implications of the simulations for possible experimental observations of anomalous transport effects. From analyses of the charge-dependent elliptic flow parameters ($v_2^{\pm }$) as a function of the net charge asymmetry $A_{\pm }$, we find that the linear dependence of $\Delta v_2^{\pm }\equiv v_2^{-}-v_2^{+}$ on the net charge asymmetry $A_{\pm }$ cannot be regarded as a robust signal of anomalous transports, contrary to previous studies. We, however, find that the intercept $\Delta v_2^{\pm }(A_{\pm }=0)$ is sensitive to anomalous transport effects.

Comments: 11 pages, 3 figures, v2