Absence of power-law behavior of the hypernetted chain equation

Abstract
The hypernetted chain equation is solved numerically near its critical point and the compressibility is found to deviate from power-law behavior. This failure can be traced to the asymptotic form of the bridge function, an analysis of which is given. A comparison is also made with the analytic behavior of the Percus-Yevick equation and suggestions for improved integral equations are discussed.