Inference of thermodynamic conditions in convergent high-energy-density-physics experiments

Laser-driven spherical implosion experiments create some of the most extreme states of matter accessible in the laboratory. However, experimental observables in implosion experiments are highly integrated, meaning that measurements cannot be straightforwardly inverted to characterize the thermodynamic states or material properties in the implosion. Thus, to understand the extreme states of matter typical of implosions, a new generation of experiments and analyses are needed that leverage modern statistical tools. This work presents a comprehensive Bayesian inference framework that enables the analysis of integrated x-ray self-emission measurements from laser-driven implosions at the OMEGA laser, producing equation-of-state data (pressure, density, and temperature) between 0.1 to 1.5 Gbar. The model is benchmarked against synthetic data from radiation-hydrodynamics simulations, and opens avenues for producing quantitative constraints on physical models relevant to dense astrophysical and laboratory fusion plasmas.