Percusndash;Yevick Equation Applied to the Melting Problem with Application to Argon

摘要

For the melting transition, the solid is represented by an anharmonic model and the liquid is described by the Percusndash;Yevick approximation. The behavior of the liquid at high densities is studied on the isothermskTthinsp;sol;thinsp;egr;thinsp;equals;thinsp;1.3, 1.8,and2.0, wherekis the Boltzmann's constant,Tis the temperature, andegr;is the well depth of the Lennardhyphen;Jones 12ndash;6 pair potential. No solutions of the Percusndash;Yevick equation were found forrgr;sgr;3above 1.3, wherergr;1is the particle density andsgr;is the radial parameter of the Lennardhyphen;Jones potential. The liquid structure is found to be very different from the solid structure near the melting line. The liquid pressures are about 50percnt; low for experimental melting densities of argon. This discrepancy gives rise to melting pressures up to twice the experimental values.