Solution of the Percus-Yevick equation for hard discs
  We solve the Percus-Yevick equation in two dimensions by reducing it to a set of simple integral equations. We numerically obtain both the pair correlation function and the equation of state for a hard disc fluid and find good agreement with available Monte-Carlo calculations. The present method of resolution may be generalized to any even dimension. 
M. Adda-Bedia, E. Katzav and D. Vella