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Small-wavenumber divergency in the mode-coupling amplitudes for the heat-current time correlation function of a one-component plasma in a magnetic field

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  • Schoolderman, A.J.
  • Suttorp, L.G.

Abstract

The long-time behaviour of the heat-current time correlation function of a one-component plasma in a magnetic field is studied with the use of mode-coupling theory. The coupling of two gyro-plasmon modes gives rise to contributions with amplitudes that are divergent for small wavenumber. These imply a slowly decaying long-time tail ≈t-12 of the Green-Kubo integrand. As such a behaviour would lead to a divergency in the static heat conductivity, it is concluded that mode-coupling theory with diverging coupling amplitudes is not a reliable starting point for the study of the long-time behaviour of Green-Kubo integrands.

Suggested Citation

  • Schoolderman, A.J. & Suttorp, L.G., 1987. "Small-wavenumber divergency in the mode-coupling amplitudes for the heat-current time correlation function of a one-component plasma in a magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 144(2), pages 513-529.
    • Handle: RePEc:eee:phsmap:v:144:y:1987:i:2:p:513-529
    DOI: 10.1016/0378-4371(87)90206-8
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