This book is about advanced plasma physics topics, and it is based on the authors' different published articles. Its goal is to look at significant issues in plasma physics using both kinetic and magnetohydrodynamic models. It is concerned with both the exact solution of the B.G.K. model of the Boltzmann kinetic equation for gaseous plasma and the investigation of the magnetohydrodynamic model solutions connected to the warm plasma state under the influence of induced and external electromagnetic fields. The magnetohydrodynamic (MHD) model describes the governing equations in the final two issues. The book's main benefit is that it approaches the issues from the perspective of irreversible thermodynamics. We calculate the numerous internal energy contributions in plasma systems in great detail. We look at the problem from the perspective of irreversible thermodynamics, estimating its non-equilibrium parameters. The findings are applied to a standard laboratory model of various types of plasma. Graphs displaying the calculated variables are made to forecast their behaviour, and the results are thoroughly presented.