This study is an attempt to investigate the applicability of the nonextensive
statistics involving the effects of magnetic fields on the thermodynamics
of quantum chromodynamics (QCD). The non-extensive statistics
are controlled by the entropic index, q ̸= 1. In the case of q = 1,
the Boltzmann–Gibbs statistics (extensive) are recovered. The thermodynamics
such as pressure, entropy, and magnetization are determined for
zero and non-zero magnetic fields. Therefore, the magnetic field is divided
into strong, eB = 0.2, 0.3 GeV2, and weak eB = 0.002, 0.003, 0.005 GeV2
magnetic fields. The magnetic field effect is caused by adding a vacuum
contribution to the free energy alongside the thermal contribution. The
theoretical results are confronted with the lattice results which show overestimation
especially at high temperatures and with higher entropic index q.
It is concluded that QCD matter is considered to be a para-magnetic matter.
Nevertheless, the non-extensive statistics might not be a favorable
tool for describing the strongly coupled media responses to the external
magnetic fields.