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Surface properties of a classical two-dimensional one-component plasma: Exact results

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Abstract

At one special temperature, the equilibrium statistical mechanics of a classical two-dimensional one-component plasma can be worked out exactly. This model is used for computing the density profile and the two-body correlation function for three kinds of electrified interfaces: charge particles attracted by a charged plate, charged particles near the permeable boundary of a semiinfinite background, charged particles near the interface between two backgrounds of different densities. Sum rules are discussed.

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Authors and Affiliations

  1. Laboratoire de Physique Théorique et Hautes Energies (Laboratoire associé au Centre National de la Recherche Scientifique), Université de Paris-Sud, 91405, Orsay, France

    B. Jancovici

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  1. B. Jancovici
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Jancovici, B. Surface properties of a classical two-dimensional one-component plasma: Exact results. J Stat Phys 34, 803–815 (1984). https://doi.org/10.1007/BF01009442

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  • DOI: https://doi.org/10.1007/BF01009442

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