  We have calculated the equation of states, 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 is accordant with underground nuclear explosive and high power laser
experimental results up to $\sim$ 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 presents the relationship between the 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.
