Excess-entropy and freezing-temperature scalings for transport coefficients: Self-diffusion in Yukawa systems

A semiempirical "universal" corresponding states relationship, for the dime nsionless transport coefficients of dense fluids as functions of the reduce d configurational entropy, was proposed more than 20 years ago and establis hed by many simulations. Recent density functional analysis predicts a univ ersal freezing-temperature scaling for the excess entropy. Combining these properties we derive an approximate corresponding states relationship for t he dimensionless transport coefficients of dense fluids as functions of the temperature scaled by the freezing temperature. The temperature scaling ob served in recent computer simulation results for self-diffusion in Yukawa s ystems is just one more case of our general result.