Journal of Statistical Physics

, Volume 47, Issue 1–2, pp 229–256 | Cite as

Time-dependent correlations for a one-component plasma in a uniform magnetic field

  • B. Jancovici
  • N. Macris
  • Ph. A. Martin
Articles

Abstract

We derive various sum rules for the time-displaced structure function of a classical one-component plasma subjected to an external uniform magnetic field. When the plasma has some translational invariance (i.e., homogeneous or translation-invariant along the field), we find that there are long-wavelength oscillations with well-defined frequencies. The results are obtained from linear response and macroscopic electrodynamics, as well as from the microscopic equations of motion (BBGKY hierarchy). In the presence of the magnetic field, the time-displaced structure function has a polynomial decay at large distances, even in the homogeneous case. When the plasma has no translational invariance, examples show a more complicated temporal behaviour in the long-length-scale limit, involving a superposition of oscillations over a continuous range of frequencies.

Key words

Sum rules time-dependent correlations one-component plasma magnetic field 

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Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • B. Jancovici
    • 1
    • 2
  • N. Macris
    • 3
  • Ph. A. Martin
    • 3
  1. 1.Laboratoire de Physique Théorique et Hautes EnergiesUniversité de Paris-SudOrsayFrance
  2. 2.Laboratory associated with the Centre National de la Recherche ScientifiqueFrance
  3. 3.Institut de Physique ThéoriqueÉcole Polytechnique Fédérale de LausanneLausanneSwitzerland

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