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We investigate the finite-size effects on the transition temperatureassociated with the quark-gluon plasma (QGP) formation. From a percolationperspective, the onset of the QGP in high-energy collisions occurs when thespanning cluster of color strings emerges. The principal result presented hereis the finite-size effects on the transition temperature expressed as a powerlaw in terms of the nucleon number. We found that the transition temperature ishigher for small systems than for large ones. It means that minimal triggeringconditions events in pp collisions require about twenty times higher energiesthan AuAu-PbPb collisions. We also estimate the center of mass energy requiredfor the QGP formation as a function of the nucleon number. Our results areconsistent with the minimal center of mass energies at which the QGP has beenobserved.

Percolation leads to finite-size effects on the transition temperature and center of mass energy required for the quark-gluon plasma formation