Electron thermal and electrical conductivity of warm dense matter

For hydrogen, carbon and CH at density 1 to 100 $\mathrm{g}/\mathrm{cm}^3$ and temperature 10 to 300 eV (ion coupling and electron degeneracy both of order 1), determine the electrical conductivity $\sigma$ and electron thermal conductivity $\kappa$, and the Lorenz number $L=\kappa e^2/(\sigma T)$ ($T$ in energy units) relative to the degenerate value $\pi^2/3$; Kubo-Greenwood DFT-MD, time-dependent DFT, average-atom and Lee-More type models differ by factors of up to several. An answer is measured $\kappa$ and $\sigma$ with 20 percent precision at two or more conditions and a theory matching them.

Time-resolved conductivity measurements (e.g. X-ray or optical probes of isochorically heated or shocked samples) at 20 percent precision, compared with first-principles calculations.