Scaling laws for transport coefficients of a hard sphere fluid

The analytical forms of the time correlation functions of the transport coefficients in Green-Kubo formulas have been analyzed to determine the dependence of the shear viscosity, longitudinal viscosity and thermal conductivity on the excess entropy for a hard sphere system. Thus the scaling laws between the transport coefficients and the excess entropy and between transport coefficients and equation of state are proposed. These analytical expressions of the transport coefficients give us the possibility to extend the investigation for the expressions of the chain molecules.