Properties of the Fermion Hard Sphere Fluid

Paolo Pisanti

The hard sphere model has historically provided remarkable results in fluid dynamics. In particular, the fermion hard sphere fluid is a very useful model for investigating concepts and approximations employed to study the prop- erties of nuclear matter. We report the results of calculations of equilibrium and non equilibrium properties of the fermion hard sphere fluid, carried out using the formalism based on correlated basis functions (CBF) and the clus- ter expansion technique. The calculation of the energy per particle as a function of density has been carried out solving the set of FHNC integral equations, allowing one to sum the relevant contributions at all orders of the cluster expansion. The CBF formalism has been also exploited to obtain an effective interaction, suitable for calculating transport properties among which the shear viscosity coefficient.