The concept of high energy density (HED) radiation driven momentum coupling (momentum transfer), C M , to a targets in a vacuum is analytically developed and applied via successive plasma, ablative, and hydrodynamic interfaces undergoing both weak and strong shocks. C M are derived from equations of state (EOS) variables and serve as figures of merit to determine energy efficiency conversion into target momentum. Generally, C M are proportional to the inverse of the interaction speed and related variables for each interaction regime. This approach provides a formalism allowing computation of hitherto intractable HED radiation and mechanical momentum coupling interactions encountered in astrophysics, planetary physics, inertial confinement fusion, near-Earth object hazard mitigation, and HED explosives modeling. C M is generally not scale invariant as are the hydrodynamic Euler equations. This analytic procedure supports interpretation of experiments using EOS response of material targets to HED interactions on the meso -and macro-scales to describe C M .
IntroductionMomentum transfer and associated equations of state (EOS) derived from high energy density (HED) interactions encountered in astrophysics and planetary physics may profoundly affect astrodynamic and geochemical outcomes in terms of momentum coupling, zone vaporization and melting, and turbulent mixing and species migration via Richtmyer-Meshkov (R-M) and Rayleigh-Taylor (R-T) instabilities 1 . By HED is meant an energy density more than an order of magnitude greater than required to vaporize and eject matter from a target at a velocity sufficient to impart a substantial momentum transfer to the remaining target mass. The dynamics analyzed in this research is that of HED laser radiation generating a high temperature and pressure plasma on a target surface in a vacuum. While (mechanical) astrodynamic collision processes are driven by gravitational interactions at planetary velocities (10's km/s), the interface energy densities are so large that transonic interaction interface conditions using conservation equations must be carried out in plasma, ablative, and hydrodynamic shock wave (discontinuity) regions that are similar to those used by the internal confinement fusion (ICF) and nuclear explosives (NE) communities. A radiation driven process on a given target (material) establishes a HED interactive region characterized by a specific momentum coupling coefficient (C M ) that determines the mechanical momentum transfer between a plasma region and the solid target. C M is not a constant or linear scale invariant within a specific material with non-zero density, but is a derived and parametrically (inverse interaction velocity, i. e. plasma isothermal sound speed) dependent figure of merit originally intended to interpret HED momentum coupling from NE tests.An objective of this work is to extend the application of C M and associated thermodynamic processes to laboratory astrophysical, planetary, and ICF problems in order to estimate the momentum exchange...