The two-temperature equations of magnetic hydrodynamics of the plasma

System of two-temperature MHD equations is presented in this paper. The system takes into account magnetization of both its components (electron and ions). Explicit expressions for calculation of all 23 kinetic coefficients entering expressions for dissipative fluxes are presented also. These 2T-MHD equations apply generalized Ohm’s law that takes into account magneto-thermo-electric effects (including Hall and Nernst–Ettingshausen effects) and anisotropy of electric conduction. Electron thermal conduction is treated analogously. Partial ionization is also considered. This system of 2T-MHD equations is adapted to use it for 3D simulations of plasma dynamics in different pulsed power and laser facilities.