Verification of the Stokes-Einstein relation in liquid noble metals over a wide range of temperatures

•VMHNC theory with EAM potential is successful to predict transport coefficient.•Temperature-dependent EAM parameters can best describe atomic transport properties at temperature far from the melting point.•Temperature-dependent EAM parameters provide reliable values of HS diameter and excess entropy.•Scaling scheme with temperature-dependent EAM parameters can describe atomic diffusion of concerned systems properly.•We can firmly say, SE relation is valid when scaling scheme has been applied with temperature-dependent EAM parameters. The validity of Stokes-Einstein (SE) relations in liquid noble metals namely Cu, Ag and Au over a wide temperature range has been studied using Dzugutov's scaling scheme and Faber's hard-sphere (HS) theory of transport coefficients. Basic ingredients of those theories are the temperature-dependent effective HS diameter and excess entropy. To determine them, we have applied variational modified hypernetted chain theory in conjunction with effective interionic interaction derived from embedded atomic method (EAM) with both temperature-dependent and independent adjustable parameters α and b. Obtained ingredients using α(T) and b(T) are close to the available experimental data than those obtained using fixed α and b with an empirical relation. Calculated transport coefficients are in good agreement with experimental data when scaling scheme with α(T) and b(T) has been considered. Simplified SE relations from transport coefficients hold when scaling scheme has been applied with α(T) and b(T) and lies around the slip boundary line.