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A Monte Carlo study of the classical two-dimensional one-component plasma

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Abstract

We present results from extensive Monte Carlo simulations of the fluid phase of the two-dimensional classical one-component plasma (OCP). The difficulties associated with the infinite range of the logarithmic Coulomb interaction are eliminated by confining the particles to the surface of a sphere. The results are compared to those obtained for a planar system with screened Coulomb interactions and periodic boundary conditions; in this case the infinite tail of the Coulomb interaction is treated as a perturbation. The “exact” simulation results are used to test various approximate theories, including a semiempirical modification of the hypernetted-chain (HNC) integral equation. The OCP freezing transition is located at a couplingγ= e2/kBT−140.

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Authors and Affiliations

  1. Laboratoire de Physique Théorique et Hautes Energies, Université de Paris-Sud, 91405, Orsay, France

    J. M. Caillol, D. Levesque & J. J. Weis

  2. Laboratoire Associé au Centre National de la Recherche Scientifique, France

    J. M. Caillol, D. Levesque & J. J. Weis

  3. Laboratoire de Physique Théorique des Liquides*, Université Pierre et Marie Curie, 75230, Paris Cedex 05, France

    J. P. Hansen

  4. Equipe Associée au Centre National de la Recherche Scientifique, France

    J. P. Hansen

Authors
  1. J. M. Caillol
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  2. D. Levesque
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  3. J. J. Weis
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  4. J. P. Hansen
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Caillol, J.M., Levesque, D., Weis, J.J. et al. A Monte Carlo study of the classical two-dimensional one-component plasma. J Stat Phys 28, 325–349 (1982). https://doi.org/10.1007/BF01012609

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