The Challenge of Assessing Uncertainty in Equation of State (EOS) Generation

We have recently developed multiphase EOSs for a number of materials including Beryllium and Gallium, based not only on experiments, but also on theoretical calculations for regions where experiments are not available or in conflict. Building EOSs unavoidably involves multiple sources of uncertainties, including experimental error bars, and uncertainties due to theoretical approximations and different choices of the free energy model. We will discuss our baseline EOS models and preliminary attempt to address and bound EOS uncertainties.