Hamiltonians and fluctuations of continuous plasma modelsFunded under: EAEC-FUSION 12C
Nonlinear drift wave equations are derived from two-fluid theory, using equilibrium statistics, in order to construct continuous plasma models with simple Hamiltonians. Partition functions and correlation functions can be calculated analytically in the one-dimensional case as functional integral averages over canonical distributions. This leads to a Lorentz spectrum in k-space, which has the observed plateau behaviour for small k, but disagrees with the k(-3) dependence for large k. Though explicit calculations of the correlation function are not feasible in the two-dimensional case, the reasonable assumption of its exponential behaviour leads to good agreement with the experiment. In particular, the observed k(-3) behaviour for large k is now confirmed theoretically. The open problem of saturation levels of fluctuations is discussed.
Bibliographic Reference: Report: IPP 6/326 EN (1995) 17 pp.
Availability: Available from Max-Planck-Institut für Plasmaphysik, 8046 Garching bei München (DE)
Record Number: 199510804 / Last updated on: 1995-07-17
Original language: en
Available languages: en