This book is concerned with the kinetic and thermodynamic treatments of plasma and neutral gases under the effect of the most important forces such as Lorentz force and thermal ration force. Scientific achievements are presented where the book investigated a new techniques dealing with thermal radiation field affect on rarefied gases problems. The book introduced a new procedure to determine the equilibrium time exactly for plasma and neutral gases mixture using the properties of the non-equilibrium distribution functions. Analytic solutions of the linear and nonlinear systems of partial differential equations, based on the BGK (Bhatnagar- Gross- Krook) model of kinetic equation together with Maxwell equations, which governing the rarefied gases, plasma and their mixture, are studied. The non-equilibrium thermodynamic properties of the systems are investigated. The entropy, entropy flux, entropy production, thermodynamic forces, kinetic coefficients are obtained. The verificationof the Boltzmann H-theorem, Le Chatelier principle, the second law of thermodynamic and the Onsager's reciprocity relation for the systems, are done. The book contains more than 150 3D-graphics.