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Statistical mechanics of two-dimensional Coulomb systems

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  • de Leeuw, S.W.
  • Perram, J.W.

Abstract

We report the results of molecular dynamics calculations of the two-dimensional one-component plasma with logarithmic interactions between the particles. A solid-fluid transition is observed for Γ = q2kT ≈ 135. The hysteresis observed on traversing the transition region indicates that the transition is first order. The velocity autocorrelation function shows marked oscillations in the strong coupling region, with a frequency, almost independent of Γ, close to the plasma frequency.

Suggested Citation

  • de Leeuw, S.W. & Perram, J.W., 1982. "Statistical mechanics of two-dimensional Coulomb systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 113(3), pages 546-558.
    • Handle: RePEc:eee:phsmap:v:113:y:1982:i:3:p:546-558
    DOI: 10.1016/0378-4371(82)90156-X
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    References listed on IDEAS

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    1. Alastuey, A. & Jancovici, B., 1981. "Equilibrium statistical mechanics of a nearly classical one-component plasma in a magnetic field, in three or two dimensions1–3)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 106(1), pages 290-291.
    2. Lévesque, Delmas, 1981. "La coopérative comme instrument de développement," L'Actualité Economique, Société Canadienne de Science Economique, vol. 57(3), pages 339-342, juillet-s.
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    Cited by:

    1. Karch, R. & Neumann, M. & Neumann, F. & Ullrich, R. & Neumüller, J. & Schreiner, W., 2006. "A Gibbs point field model for the spatial pattern of coronary capillaries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 599-611.
    2. de Leeuw, S.W. & Perram, J.W. & Smith, E.R., 1983. "Statistical mechanics of two-dimensional coulomb systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 119(3), pages 441-454.

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    1. de Leeuw, S.W. & Perram, J.W. & Smith, E.R., 1983. "Statistical mechanics of two-dimensional coulomb systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 119(3), pages 441-454.

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