A multi-phase transport model is used to study the efficacy of shape-engineered events to delineate the degree of coupling between the linear and nonlinear contributions to the higher-order flow harmonics v ₄ and v ₅. The study shows that the nonlinear contributions are strongly shape-dependent while the linear contributions are shape-independent, indicating little if any, coupling between the linear and nonlinear flow coefficients. The experimental verification of such patterns could be an invaluable tool for robust extraction of the linear and mode-coupled flow coefficients, especially for beam energies where the charged particle multiplicity and the event statistics precludes the use of current methods to establish the coupling strength.

多相输运模型用于研究形状工程事件的有效性，以描述线性和非线性贡献对高阶流动谐波v ₄和v ₅的耦合程度。研究表明，非线性贡献与形状密切相关，而线性贡献与形状无关，这表明线性和非线性流量系数之间几乎没有耦合。这种模式的实验验证对于线性和模式耦合的流量系数的鲁棒提取可能是一个宝贵的工具，尤其是对于束能量，其中带电粒子的多重性和事件统计无法使用当前的方法来建立耦合强度。