Structural and collective properties of two-dimensional Yukawa liquids

The radial distribution function of two-dimensional Yukawa systems has been computed with the hypernetted chain equations and compared with molecular dynamics simulations. A comparison is also made with similar quantities in three-dimensional systems. The importance of the bridge function in two dimensions is illustrated. Collective behaviour is described in terms of the dynamic structure factor S ( q , ω); inclusion of the local field correction G ( q , ω) incorporates physics beyond the random phase approximation. Simulation results are compared with renormalized mean-field approximations G ( q , ω) ≈ G ( q , 0) and G ( q , ω) ≈ G ( q , ∞). These approximations fail to capture details of the spectrum.