Exploring the parameter space of MagLIF implosions using similarity scaling. III. Rise-time scaling

Magnetized liner inertial fusion (MagLIF) is a z-pinch magneto-inertial-fusion concept studied at the Z Pulsed Power Facility of Sandia National Laboratories. Two important metrics characterizing current delivery to load are peak and current-rise time, which roughly time interval reach current. It known that, when driving with longer performance decreases. However, theory understand quantify this effect still lacking. In paper, we utilize framework based on similarity scaling analytically investigate variations in MagLIF loads varying or equivalently, implosion timescale. To maintain between implosions, provide prescriptions experimental input parameters defining derive expected laws for stagnation conditions various metrics. We compare predictions 2D numerical simulations using radiation, magneto-hydrodynamic code hydra. For several metrics, find acceptable agreement simulations. Our results show that voltage φload near follows weak law φload∝tφ−0.12 respect characteristic timescale tφ source, instead ideal φload∝tφ−1 scaling. This occurs because imploding height must increase preserve end losses. As consequence liners, required total laser preheat energy delivered electric increase. Overall, study helps trade-offs design space considering future pulsed-power generators shorter times.