title: Equations of state and transport properties of warm dense beryllium: a quantum molecular dynamics study.
abstract: We have calculated the equations of state, the viscosity and self-diffusion coefficients, and electronic transport coefficients of beryllium in the warm dense regime for densities from 4.0 to 6.0 g/cm(3) and temperatures from 1.0 to 10.0 eV by using quantum molecular dynamics simulations. The principal Hugoniot curve is in agreement with underground nuclear explosive and high-power laser experimental results up to ~20 Mbar. The calculated viscosity and self-diffusion coefficients are compared with the one-component plasma model, using effective charges given by the average-atom model. The Stokes-Einstein relationship, which connects viscosity and self-diffusion coefficients, is found to hold fairly well in the strong coupling regime. The Lorenz number, which is the ratio between thermal and electrical conductivities, is computed via Kubo-Greenwood formula and compared to the well-known Wiedemann-Franz law in the warm dense region.
authors.affiliation: Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, People's Republic of China.
authors.forename: Cong
authors.initials: C
authors.lastname: Wang
authors.forename: Yao
authors.initials: Y
authors.lastname: Long
authors.forename: Ming-Feng
authors.initials: MF
authors.lastname: Tian
authors.forename: Xian-Tu
authors.initials: XT
authors.lastname: He
authors.forename: Ping
authors.initials: P
authors.lastname: Zhang