Critical Point in the PercusYevick Theory
Abstract
Some consequences of the PercusYevick theory are studies in the neighborhood of the critical point for adhesive hard spheres and for the 6:12 potential (truncated at 6σ). It is shown that the PercusYevick theory gives rise to classical behavior at the critical point. In particular, it is shown that for the compressibility equation of state the critical exponents γ and δ are 1 and 3, respectively, and for the energy equation of state the critical exponents α and β are 0 and 1/2 , respectively. In addition, the behavior of the PercusYevick distribution function in the neighborhood of the critical point is examined and it is shown that for the critical isochore the temperature derivative of the distribution function diverges with a critical exponent of 1/2 which is independent of r and that for the critical isotherm the distribution function is a linear function of the density for all r.
 Publication:

Physical Review A
 Pub Date:
 September 1972
 DOI:
 10.1103/PhysRevA.6.1224
 Bibcode:
 1972PhRvA...6.1224H