  We study the dilute Fermi gas at unitarity using molecular dynamics with an
effective quantum potential constructed to reproduce the quantum two-body
density matrix at unitarity. Results for the equation of state, the pair
correlation function and the shear viscosity are presented. These quantities
are well understood in the dilute, high temperature, limit. Using molecular
dynamics we determine higher order corrections in the diluteness parameter
$n\lambda^3$, where $n$ is the density and $\lambda$ is the thermal de Broglie
wave length. In the case of the contact density, which parameterizes the short
distance behavior of the correlation function, we find that the results of
molecular dynamics interpolates between the truncated second and third order
virial expansion, and are in excellent agreement with existing T-matrix
calculations. For the shear viscosity we reproduce the expected scaling
behavior at high temperature, $\eta\sim 1/\lambda^3$, and we determine the
leading density dependent correction to this result.
