Monte Carlo simulation of the classical two-dimensional one-component plasma

We have used Monte Carlo simulation, lattice dynamics in the harmonic approximation, and solution of the hypernetted-chain equation to study the classical two-dimensional one-component plasma. We find a fluid phase for Γ=e²(πn)1/2kBT<~125±15 and a solid phase for higher Γ. The solid phase shows directional long-range order. In the solid phase positional long-range order is lost as the thermodynamic limit is approached. We also present the results of calculations of the thermodynamic functions and one- and two-particle correlation functions.