Kinetic theory of the thermal conductivity of a strongly coupled semiclassical hydrogen plasma

A kinetic theory is presented for the thermal conductivity of a strongly coupled, fully ionized hydrogen plasma of typical temperature and density 10≤T≤${10}^4$ eV, ${10}^{20}$≤n≤${10}^{27}$ ${\mathrm{cm}}^{\mathrm{-}3}$. This theory gives results in good agreement with molecular dynamics and recovers weak-coupling-theory values at high temperature. The theory has then been generalized to a three-component hydrogen plasma made up of protons and electrons of spin up and spin down. It is found that the ionic part of the thermal conductivity cannot be neglected in the high-temperature high-density domain of the parameters.