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In event by event hydrodynamic model, we have simulated 30-40\% Au+Aucollisions at RHIC and computed the slope parameter from the invariant piondistribution. In each event, the slope parameter fluctuates azimuthally.Fourier expansion coefficients $T_n$ for the slope parameter and the Fourierexpansion coefficients $v_n$ for the azimuthal distribution $\frac{dN}{d\phi}$are found to be strongly correlated. Strong correlation between the twoexpansion coefficients suggests that in addition to azimuthal distribution,fluctuations in the slope parameter of the invariant distribution can as wellbe used to study the final state momentum anisotropy in relativistic energyheavy ion collisions. If measured experimentally, they can serve as additionalconstraint for hydrodynamical modeling.

Fluctuations in slope parameter in event-by-event hydrodynamics and momentum anisotropy in heavy ion collisions