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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 =e^{2 () ^1{2}}{k₁T}<~12515 and a solid phase for higher. 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.
Gann et al. (Sun,) studied this question.