Survival rate of initial azimuthal anisotropy in a multiphase transport model

We investigate the survival rate of an initial momentum anisotropy $({v}_{2}^{\mathrm{ini}})$, not spatial anisotropy, to the final state in a multiphase transport (AMPT) model in Au+Au collisions at $\sqrt{{s}_{NN}}=200$ GeV. It is found that both the final-state parton and charged hadron ${v}_{2}$ show a linear dependence versus ${v}_{2}^{\mathrm{ini}}{\mathrm{PP}}$ with respect to the participant plane (PP). It is found that the slope of this linear dependence (referred to as the survival rate) increases with transverse momentum ${p}_{T}$, reaching $\ensuremath{\sim}100%$ at ${p}_{T}\ensuremath{\sim}2.5$ GeV/$c$ for both parton and charged hadron. The survival rate decreases with collision centrality and energy, indicating decreasing survival rate with increasing interactions. It is further found that a ${v}_{2}^{\mathrm{ini}}{\mathrm{Rnd}}$ with respect to a random direction does not survive in ${v}_{2}{\mathrm{PP}}$ but in the two-particle cumulant ${v}_{2}{2}$. The dependence of ${v}_{2}{2}$ on ${v}_{2}^{\mathrm{ini}}{\mathrm{Rnd}}$ is quadratic rather than linear.