Abstract

The Grüneisen parameter (in solids) and the pseudo Grüneisen parameter (in liquids) are of high importance in physics, chemistry and material science. The pseudo Grüneisen parameters in dense fluids have been evaluated using three known analytical expressions for radial distribution functions (RDFs). Using such approach not only tests the power of distribution functions theory in predicting the pseudo Grüneisen parameters, but also specifies better expressions in determining these properties. To calculate these quantities, the variation of radial distribution function with density and temperature is required. Therefore, we should have analytical expressions which explicitly present RDF as a function of temperature, density and interparticle distance. It is shown that if an expression properly presents RDFs as a function of interparticle distance, density and temperature, it is possible to calculate the pseudo Grüneisen parameters from analytical distribution functions.

Key words: Radial distribution function, pseudo Grüneisen parameter, statistical mechanics, heat capacity.