Measurement of reaction-plane correlations in Pb-Pb collisions at $\sqrt{s_{NN}}=2.76$ TeV within a multi-phase transport model

In heavy ion collisions the initial geometry fluctuations can be studied using the measured harmonic flow coefficients $v_n$. Further information on these fluctuations can be obtained by measuring the correlations between the reaction plane angles $\Phi_n$ of different orders. Using a multi-phase transport (AMPT) model for Pb+Pb collisions at $\sqrt{s_{NN}}=2.76$ TeV, we present a study of the correlations between $\Phi_n$ of different orders. Various correlators are built between two and three reaction planes. These correlations are estimated from correlations between event-plane angles $\Psi_n$ with a resolution correction accounts for the dispersion from $\Psi_n$ relative to $\Phi_n$. Results are compared with the ATLAS measurements and show good consistency for two plane correlations. These simulation results can help provide a good insight into the the experimental measurements.