Mitra, SukanyaSukanyaMitra2025-08-302025-08-302018-01-0110.1140/epjc/s10052-018-5536-32-s2.0-85041029557https://d8.irins.org/handle/IITG2025/22926The thermodynamics and covariant kinetic theory are elaborately investigated in a non-extensive environment considering the non-extensive generalization of Bose–Einstein (BE) and Fermi–Dirac (FD) statistics. Starting with Tsallis’ entropy formula, the fundamental principles of thermostatistics are established for a grand canonical system having q-generalized BE/FD degrees of freedom. Many particle kinetic theory is set up in terms of the relativistic transport equation with q-generalized Uehling–Uhlenbeck collision term. The conservation laws are realized in terms of appropriate moments of the transport equation. The thermodynamic quantities are obtained in a weak non-extensive environment for a massive pion–nucleon and a massless quark–gluon system with non-zero baryon chemical potential. In order to get an estimate of the impact of non-extensivity on the system dynamics, the q-modified Debye mass and hence the q-modified effective coupling are estimated for a quark–gluon system.trueArticlehttps://link.springer.com/content/pdf/10.1140/epjc/s10052-018-5536-3.pdf143460521 January 20181066arJournal10