Scaling Laws for NIF Ignition from First Principles.

摘要

We have developed an analytical physics model from fundamental physics principles and used the model to derive a thermonuclear ignition criterion and implosion energy scaling laws applicable to NIF ICF capsules. We analytically derived the scaling laws for implosion and the ignition threshold factor (ITF) from first principles. The scaling laws relate the fuel pressure and the minimum implosion energy required for ignition to the peak implosion velocity and the equation of state of the pusher and the hot fuel. When a specific cold adiabat path is used for the cold fuel, the new scaling laws recover the NIC ITF dependence on the implosion velocity, but when a hot adiabat path is chosen, the model agrees with the NIC data. Model predictions for the ratios of mass, aspects, volumes, areal densities, and energies of the hot spot to pusher and to total fuel and predictions of the hot fuel pressure are in good agreement with the NIC experiments. The newly derived ITF shows a much stronger dependence on both equation of state and implosion velocity than the LASNEX-based NIC ITF.