Inertial confinement fusion ignition criteria, critical profiles, and burn wave propagation using self-similar solutions
- Physics Department, Nuclear Research Center---Negev, P.O. Box 9001, Beer-Sheva (Israel)
The ignition conditions, under which a thermonuclear burn wave propagates from an initial hot spot, and the characteristics of the propagating burn wave are investigated using a set of self-similar solutions. Although the self-similar solutions exist only for external density profile that decreases as {rho}{sub out}{proportional_to}r{sup {minus}1}, they are shown to provide natural ignition criteria and critical profiles for more general density profiles. The concept of working lines (WLs), attractors of trajectories in the {rho}R{minus}T plane of propagating burn waves, is introduced for density profiles {rho}{sub out}{proportional_to}r{sup {minus}{omega}}. The WLs are found to be close and almost parallel to the ignition line (IL). The distance of the WLs from the IL is given analytically and shown to depend on all the physical processes involved. The spatial profiles of a burn wave propagating along the WLs are shown to be closely related to the self-similar critical profiles. {copyright} {ital 1997 American Institute of Physics.}
- OSTI ID:
- 544571
- Journal Information:
- Physics of Plasmas, Vol. 4, Issue 5; Other Information: PBD: May 1997
- Country of Publication:
- United States
- Language:
- English
Similar Records
ASYMPTOTIC SELF-SIMILAR SOLUTIONS WITH A CHARACTERISTIC TIMESCALE
GAMMA-RAY BURST DYNAMICS AND AFTERGLOW RADIATION FROM ADAPTIVE MESH REFINEMENT, SPECIAL RELATIVISTIC HYDRODYNAMIC SIMULATIONS