Thermoelectric Transport with an 8-Moment Plasma Model in Perseus

The PERSEUS code originally solved as-moment 2-fluid Extended MHD model including electron inertia and Hall terms in the Generalized Ohm's Law. However, the 5-moment model lacks non-equilibrium transport such as heat flow and thermoelectric effects. In the high temperature and density regimes found in High Energy Density plasmas, these higher-moment transport phenomena may have substantial influences on the evolution of the system. Collisional transport theory is typically derived by perturbing the Boltzmann equation with a Chapman-Eskog expansion. This assumes the plasma is near-equilibrium, lacks physical propagation speeds for the non-equilibrium variables, and results in non-hyperbolic source terms. The latter requires a computationally expensive global implicit solver to avoid stiff explicit terms.