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

A semiempirical "universal" corresponding states relationship, for the dimensionless transport coefficients of dense fluids as functions of the reduced configurational entropy, was proposed more than 20 years ago and established by many simulations. Recent density functional analysis predicts a universal freezing-temperature scaling for the excess entropy. Combining these properties we derive an approximate corresponding states relationship for the dimensionless transport coefficients of dense fluids as functions of the temperature scaled by the freezing temperature. The temperature scaling observed in recent computer simulation results for self-diffusion in Yukawa systems is just one more case of our general result.