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The hypernetted-chain integral equation is solved numerically to yield the pair correlation function, equation of state, and free energy of a two-dimensional classical electron gas, for values of Γ≡(πn)1/2e²kBT up to 100. The onset of short-range order in the gas is found to occur for 2.8<Γ<2.9. In general, the results are qualitatively similar to those of the three-dimensional electron gas.
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F. Lado (1978) studied this question.
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