  We analyze Pb+Pb collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV with a novel
framework based on the dynamical core--corona picture that describes particle
productions from both equilibrium and non-equilibrium components. We remark the
possibility of the contribution from non-equilibrium components at very low
transverse momentum ($p_{T}$) region and show that such contributions
significantly affect $p_{T}$-integrated four-particle cumulants. These results
strongly suggest the necessity of non-equilibrium components when one extracts
properties of the quark-gluon plasma from experimental data using sophisticated
dynamical models based on relativistic hydrodynamics.
