Abstract
A study of the one-dimensional lattice gas of positive and negative charges interacting via the logarithmic potential is continued. The two-particle distribution functions are evaluated exactly at the couplingsΓ=2 and 4. It is proved that theΓ=4 isotherm exhibits an insulator-conductor phase transition at the reduced density 1/2, and the scaling behavior of the correlations near this critical point is given. Similarities of the conjectured phase diagram with that of a one-dimensional one-component log-gas in a periodic potential are noted.
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Forrester, P.J. Exact results for correlations in a two-component log-gas. J Stat Phys 54, 57–79 (1989). https://doi.org/10.1007/BF01023473
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DOI: https://doi.org/10.1007/BF01023473