The structure of two-dimensional dimerizing fluids from Wertheim's Ornstein-Zernike equation

A dimerizing fluid of hard discs is studied using two-dimensional (2D) Wert heim's Ornstein-Zernike (WOZ) equation and associative Percus-Yevick (APY) closure. Dimerization takes place due to site-site associative interactions . The dependences of the association constant on disc density at different association energies are obtained. We calculate the compressibility and the virial equations of state (EOS) using the solution of the WOZ equation. Th eoretical structure and thermodynamics is compared with Monte Carlo compute r simulation data. Extension of our solution for polymerizing models is of special interest for the development of EOS for 2D chain fluids.