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Scaling laws for ignition at the National Ignition Facility from first principles
Baolian Cheng1, Thomas J T Kwan, Yi-Ming Wang
1Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
Abstract:
We have developed an analytical physics model from fundamental physics principles and used the reduced one-dimensional model to derive a thermonuclear ignition criterion and implosion energy scaling laws applicable to inertial confinement fusion capsules. 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 low-entropy adiabat path is used for the cold fuel, our scaling laws recover the ignition threshold factor dependence on the implosion velocity, but when a high-entropy adiabat path is chosen, the model agrees with recent measurements.
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