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Magnetic properties of a nearly classical one-component plasma in three or two dimensions

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  • Alastuey, A.
  • Jancovici, B.

Abstract

The magnetic properties of the one-component plasma, in three and two dimensions, are studied in the nearly classical case. Since magnetism is an essentially quantum effect, Planck's constant ℏ can be used as a small parameter. A generalized Wigner-Kirkwood expansion in powers of ℏ2 is derived. This expansion is used for computing the induced magnetization. The displacement of the liquid-solid phase transition of the model, when a magnetic field is applied, is discussed. The model is applicable to electrons deposited at the surface of liquid helium.

Suggested Citation

  • Alastuey, A. & Jancovici, B., 1979. "Magnetic properties of a nearly classical one-component plasma in three or two dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 97(2), pages 349-366.
  • Handle: RePEc:eee:phsmap:v:97:y:1979:i:2:p:349-366
    DOI: 10.1016/0378-4371(79)90111-0
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    Cited by:

    1. Jancovici, B., 1980. "Diamagnetism of an electron gas and surface currents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 101(2), pages 324-338.
    2. Dodonov, V.V. & Man'ko, V.I. & Ossipov, D.L., 1985. "The quasi-classical equilibrium Wigner distribution function of an electron gas in a nonuniform electromagnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 132(2), pages 269-283.
    3. Alastuey, A., 1982. "Magnetic properties of a nearly classical one-component plasma in two dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 110(1), pages 293-301.
    4. Alastuey, A. & Jancovici, B., 1980. "Magnetic properties of a nearly classical one-component plasma in three or two dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 102(2), pages 327-343.

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