DIVERGING 7TH VIRIAL-COEFFICIENT OF STICKY DISKS

The seventh virial coefficient of a two-dimensional system of particle s interacting with a hard-core square-well pair potential is studied. The Ree-Hoover type cluster integrals were examined and it was found t hat a graph in the form of a hexagonal wheel with all the bonds of the attractive square-well type does not allow Baxter's 'sticky sphere' l imit to be achieved. The value of that particular cluster integral was calculated. It was shown that when approaching the sticky limit the c luster integral corresponding to the hexagonal wheel diverges linearly with the height of the peak in the Mayer f function at the location o f the potential square-well. As a consequence, the seventh virial coef ficient of the sticky disc system does not have a finite value.