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

Masaru Hongo; Yuji Hirono; Tetsufumi Hirano

doi:10.1016/j.physletb.2017.10.028

paper

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

arXiv:1309.2823 · doi:10.1016/j.physletb.2017.10.028

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 $Δ v_{2}^{\pm} \equiv v_{2}^{-} - v_{2}^{+}$ 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 $Δ v_{2}^{\pm} (A_{\pm} = 0)$ is sensitive to anomalous transport effects.

11 pages, 3 figures, v2

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

Abstract

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