  In the context of event-by-event hydrodynamic description, we analyze the
implications of two models characterized by distinct initial conditions. The
initial energy density of the first model adopts a Gaussian-type distribution,
while those of the second one are features by high energy peripheral tubes. We
calibrate the initial conditions of both models so that their initial
probability distribution of eccentricity are mostly identical. Subsequently,
the resultant scaled probability distributions of collective flow and the
correlations between flow harmonic and eccentricity coefficients are
investigated. Besides, the calculations are carried out for particle
correlations regarding the symmetric cumulant, mixed harmonics, and nonlinear
response coefficients. Although the resultant two-particle correlations possess
similar shapes, numerical calculations indicate a subtle difference between the
two models. To be specific, the difference resides in more detailed observables
such as the probability distributions of elliptic flow as well as Pearson
correlation coefficient regarding higher-order harmonics. We discuss several
essential aspects concerning the linearity and nonlinearity between initial
eccentricities and final state anisotropies. Further implications are
addressed.
