Abstract
We revisit the equilibrium classical statistical mechanics of the two-dimensional one-component plasma, for the special value Γ=2 of the coupling constant. Using a new method, we find that the model is solvable (then-body densities can be explicitly computed) for a larger class of inhomogeneous backgrounds. In particular, we can deal with a doubly periodic background; this is a classical model for a crystal made of fixed ions and mobile electrons. At Γ=2, this system is conducting: the correlations have a fast decay, and the Stillinger-Lovett screening sum rule is obeyed.
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Cornu, F., Jancovici, B. & Blum, L. The two-dimensional one-component plasma in a doubly periodic background: Exact results. J Stat Phys 50, 1221–1243 (1988). https://doi.org/10.1007/BF01019162
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DOI: https://doi.org/10.1007/BF01019162