Principle of Corresponding States for Transport Properties

Abstract

The principle of corresponding states can be demonstrated by use of the autocorrelation function expressions for the transport properties and the assumption that the intermolecular potential has the form u=εu^*(r/σ). The result follows from the fact that both the canonical ensemble distribution function and the solution of the mechanical equations of motion may be written in reduced variables. One finds that η^*=ησ²/m^½ε^½, κ^*=κkε^½/m^½σ ², and D^*=Dm^½/ε^½σ are universal functions of T^*=Tk/ε, P^*=Pσ³/ε, and in the quantum mechanical case ℏ^*=ℏ/σm^½ε^½.