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Physics of Plasmas / Volume 19 / Issue 2 / ARTICLES / Basic Plasma Phenomena, Waves, Instabilities

Phys. Plasmas 19, 022105 (2012); http://dx.doi.org/10.1063/1.3682985 (9 pages)

Spontaneous electromagnetic fluctuations in unmagnetized plasmas I: General theory and nonrelativistic limit

R. Schlickeiser1,2 and P. H. Yoon3,4

1Institut für Theoretische Physik, Lehrstuhl IV: Weltraum- und Astrophysik, Ruhr-Universität Bochum, D-44780 Bochum, Germany
2Research Department Plasmas with Complex Interactions, Ruhr-Universität Bochum, D-44780 Bochum, Germany
3Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742, USA
4School of Space Research, Kyung Hee University, Yongin-Si, Gyeonggi-Do, 446-701, Korea

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(Received 7 November 2011; accepted 29 December 2011; published online 15 February 2012)

Using the system of the Klimontovich and Maxwell equations, general expressions for the electromagnetic fluctuation spectra (electric and magnetic field, charge and current densities) from uncorrelated plasma particles are derived, which are covariantly correct within the theory of special relativity. The general expressions hold for arbitrary momentum dependences of the plasma particle distribution functions and for collective and non-collective fluctuations. In this first paper of a series, the results are illustrated for the important special case of nonrelativistic isotropic Maxwellian particle distribution functions providing in particular the thermal fluctuations of weakly amplified modes and aperiodic modes.

© 2012 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. BASIC EQUATIONS
    1. Electromagnetic field perturbations
    2. Single-particle fluctuations
    3. Electromagnetic fluctuations
  3. GYROTROPIC FORM FACTORS
    1. Nonrelativistic limit
    2. Relativistic form factors
  4. COLLECTIVE MODES
  5. ILLUSTRATIVE EXAMPLE: NONRELATIVISTIC ISOTROPIC MAXWELLIAN DISTRIBUTION FUNCTION
    1. Dispersion functions
    2. Form factors
    3. Electromagnetic fluctuations
    4. Thermal aperiodic fluctuations
    5. Thermal weakly amplified fluctuations
  6. SUMMARY AND CONCLUSIONS

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KEYWORDS and PACS

Keywords

Maxwell equations, plasma electromagnetic wave propagation, plasma fluctuations, plasma instability, plasma transport processes

PACS

  • 52.25.Gj

    Fluctuation and chaos phenomena

  • 52.25.Fi

    Transport properties

  • 52.35.Qz

    Microinstabilities (ion-acoustic, two-stream, loss-cone, beam-plasma, drift, ion- or electron-cyclotron, etc.)

  • 52.40.Db

    Electromagnetic (nonlaser) radiation interactions with plasma

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3682985

PUBLICATION DATA

ISSN

1070-664X (print)  
1089-7674 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    S. Cable and T. Tajima, Phys. Rev. A 46, 3413 (1992).

    M. Opher and R. Opher, Phys. Rev. Lett. 14, 2628 (1997).

    R. Schlickeiser, M. Lazar, and T. Skoda, Phys. Plasmas 18, 012103 (2011)PHPAEN000018000001012103000001.

    P. H. Yoon, Phys. Plasmas 14, 064504 (2007)PHPAEN000014000006064504000001.

    R. C. Tautz and R. Schlickeiser, Phys. Plasmas 14, 102102 (2007)PHPAEN000014000010102102000001.

    E. Weibel, Phys. Rev. Lett. 2, 83 (1959).

    E. J. Lund, R. A. Treumann, and J. LaBelle, Phys. Plasmas 3, 1234 (1996)PHPAEN000003000004001234000001.

    R. Schlickeiser, Phys. Plasmas 17, 112105 (2010)PHPAEN000017000011112105000001.


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