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Statistical mechanics of two-dimensional coulomb systems

Author

Listed:
  • de Leeuw, S.W.
  • Perram, J.W.
  • Smith, E.R.

Abstract

The dynamic properties of the classical two-dimensional plasma are studied using the method of molecular dynamics. The properties are found to be similar to those of its 3-dimensional counterpart. A negative plasmon dispersion is observed. The long time behaviour of the velocity autocorrelation function is studied in detail. Its asymptotic decay can be described accurately by a function of the form z(t)= t−1 (a+b cos (ωpt+α)) in qualitative agreement with the predictions of linearized hydrodynamics.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:119:y:1983:i:3:p:441-454
    DOI: 10.1016/0378-4371(83)90102-4
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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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