  Magnetic fields spontaneously grow at unstable interfaces around hot-spot
asymmetries during inertial confinement fusion implosions. Although difficult
to measure, theoretical considerations and numerical simulations predict field
strengths exceeding 5kT in current national ignition facility experiments.
Magnetic confinement of electrons then reduces the hot-spot heat loss by >5%.
We demonstrate this via magnetic post-processing of two-dimensional xRAGE
hydrodynamic simulation data at bang time. We then derive a model for the
self-magnetization, finding that it varies with the square of the stagnation
temperature and inversely with the areal density. The self-magnetized Lawson
analysis then gives a slightly reduced ignition threshold. Time dependent
hot-spot energy balance models corroborate this finding, with the magnetic
field quadrupling the fusion yield for near threshold parameters. The inclusion
of magnetized multi-dimensional fluid instabilities could further alter the
ignition threshold, and will be the subject of future work.
