Chiral vortical and magnetic effects in the anomalous transport model

We extend our recent study of chiral magnetic effect in relativistic heavy ion collisions based on an anomalous transport model by including also the chiral vortical effect. We find that although vorticities in the chirally restored quark matter, which result from the large angular momentum in noncentral collisions, can generate an axial charge dipole moment in the transverse plane of a heavy ion collision, it does not produce a difference in the eccentricities of negatively and positively charged particles. As a result, including the chiral vortical effect alone cannot lead to a splitting between the elliptic flows of negatively and positively charged particles. On the other hand, negatively and positively charged particles do develop a splitting in their elliptic flows if the effect due to a strong and long-lived magnetic field is also included. However, to have a positive slope in the dependence of the elliptic flow splitting on the charge asymmetry of the quark matter, as seen in experiments, requires the neglect of the effect of the Lorentz force. In this case, an elliptic flow splitting appears even at vanishing charge asymmetry.

Figure 1

Elliptic flow of kinetically freeze-out pions in midrapidity $\left(\left|y\right|\le 1\right)$ as a function of transverse momentum for the three cases of including both chiral vortical and magnetic effects and the effect due to the Lorentz force (CVE+CME+LF), without the Lorentz force (CVE+CME), and with only the vortical effect (CVE). Experimental data (solid circles) are from Ref. [29].

Figure 2

Eccentricity and elliptic flow difference between negatively and positively charged particles as functions of time for total charge asymmetry of quark matter $A_{\pm }=0.16$.

Figure 3

Axial charge chemical potential ${\mu }_5/T$ distribution in the transverse plane $z=0$ at time $t=5\mathrm{fm}/c$ for partonic matter of zero charge asymmetry.

Figure 4

Eccentricity difference between negatively and positively charged particles as a function of time for partonic matter of charge asymmetries $A_{\pm }=0$ and $A_{\pm }=0.16$.

Figure 5

Same as Fig. 4 for the elliptic flow difference between positively and negatively charged particles as a function of time.

Figure 6

Eccentricity and elliptic flow differences between negatively and positively charged particles as functions of time for different scenarios of parton dynamics when the total charge asymmetry of the quark matter is $A_{\pm }=0.16$.

Figure 7

Elliptic flow difference as a function of charge asymmetry $A_{\pm }$ for different scenarios of parton dynamics.