Magnetic field transport in propagating thermonuclear burn

High energy gain in inertial fusion schemes requires the propagation of a thermonuclear burn wave from hot to cold fuel. We consider problem when magnetic field is orthogonal wave. Using an extended-MHD model with magnetized $\alpha$ transport equation we find that can reduce rate by suppressing electron thermal conduction and particle flux. Magnetic during subject competing effects: be advected regions ablation fuel, while Nernst flux effects These effects, combined temperature increase due burn, cause Hall parameter grow rapidly at front. This results formation self-insulating layer between fuel reduces conductivity transport, increases gradient propagation.