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Nonextensive statistics in a blast-wave model is implemented to describe the identified hadron production in relativistic p+p and nucleus-nucleus collisions.Incorporating the core and corona components within the TBW formalism allows us to describe simultaneously some of the major observations in hadronic observables at the Relativistic Heavy-Ion Collider (RHIC):the amount of constituent quark scaling (NCQ),the large radial and elliptic flow,the effect of gluon saturation,and the suppression of hadron production at high transverse momentum (PT) due to jet quenching.In this formalism,the NCQ scaling at the RHIC appears as a consequence of a nonequilibrium process.Our study also provides concise reference distributions with a least x2 fit of the available experimental data for future experiments and models.