The particle momentum anisotropy ($v_n$) produced in relativistic nuclear collisions is considered to be a response of the initial geometry or the spatial anisotropy ${ϵ}_n$ of the system formed in these collisions. The linear correlation between ${ϵ}_n$ and $v_n$ quantifies the efficiency at which the initial spatial eccentricity is converted to final momentum anisotropy in heavy ion collisions. We study the transverse momentum and collision centrality dependence of this correlation for charged particles using a hydrodynamical model framework at LHC. The (${ϵ}_n-v_n$) correlation is found to be stronger for central collisions and also for n=2 compared to that for n=3 as expected. However, the transverse momentum ($p_T$) dependent correlation coefficient shows interesting features which strongly depends on the mass as well as $p_T$ of the emitted particle. The correlation strength is found to be larger for lighter particles in the lower $p_T$ region. We see that the relative fluctuation in anisotropic flow depends strongly on the value of $\eta /s$ specially in the region $p_T<1$ GeV unlike the correlation coefficient which does not show significant dependence on $\eta /s$.

粒子动量各向异性 ($v_n$) 在相对论核碰撞中产生的被认为是初始几何或空间各向异性的响应 ${\epsilon }_n$在这些碰撞中形成的系统。之间的线性相关${\epsilon }_n$ 和 $v_n$量化了在重离子碰撞中初始空间偏心率转换为最终动量各向异性的效率。我们使用 LHC 的流体动力学模型框架研究了这种相关性对带电粒子的横向动量和碰撞中心性依赖性。这 （${\epsilon }_n-v_n$) 与预期的 n=3 相比，发现中心碰撞和 n=2 的相关性更强。然而，横向动量 (${磷}_{吨}$) 相关系数显示了有趣的特征，这些特征强烈依赖于质量以及 ${磷}_{吨}$发射的粒子。发现较低的较轻粒子的相关强度较大${磷}_{吨}$地区。我们看到各向异性流的相对波动强烈依赖于$\eta /秒$ 特别是在该地区 ${磷}_{吨}<1$ GeV 与相关系数不同，它对 $\eta /秒$.