OICC Press Journal of Theoretical and Applied Physics 2251-7235 20 4 2026 08 31 Effects of q-Deformation on the Thermal Deconfinement Phase Transition in High-Energy Physics 10.57647/jtap.2026.2004.01 EN Lebba Ghenam Department of Physics, Laboratoire de Physique des Particules et de Physique Statistique, Ecole Normale Supérieure El-Cheikh Mohamed El-Bachir El-Ibrahimi, BP 92 Vieux-Kouba, Algiers Karima Bouakaz Department of Physics, Laboratoire de Physique des Particules et de Physique Statistique, Ecole Normale Supérieure El-Cheikh Mohamed El-Bachir El-Ibrahimi, BP 92 Vieux-Kouba, Algiers https://orcid.org/0000-0002-7547-6287 Journal Article 2026 08 31 The influence of the q-deformation parameter on the thermal deconfinement phase transition (DPT) from a hadronic gas phase to a Quark-Gluon Plasma (QGP) phase is investigated in this paper using analytical derivations and numerical simulations within the phase coexistence model. By studying key thermodynamic parameters such as specific heat, entropy, energy density, and the order parameter, we demonstrate how the phase transition dynamics are modified by the deformation parameter q. Our results indicate that increasing q lowers the critical transition temperature TC(q) while enhancing thermodynamic quantities like entropy and energy densities. Furthermore, the phase transition exhibits first-order characteristics, as evidenced by latent heat and discontinuities in thermodynamic functions near the critical point. Additionally, we study finite-size effects, which result in smoothed transitions in smaller system volumes. These findings underscore the relevance of q-deformation in high-energy physics, particularly in understanding the thermodynamics of QCD phase transitions and non-extensive statistical contributions.