Anomalous Plasma Resistivity at Low Electric Fields

B. Coppi, E. Mazzucato

The Physics of Fluids · 1971 · 71 citations · 10 references

Concepts

TL;DR

Experiments show nonclassical resistivity exceeding predictions of electron‑ion collision theory in magnetically confined plasmas with high gyrofrequency and low electric fields. The study proposes a theoretical explanation that anomalous resistivity begins when electron flow along the magnetic field exceeds the ion sound speed, exciting nonresonant modes driven by electron‑electron collisions. The model links the magnitude of anomalous resistivity to nonlinear effects of fluctuations and short‑wavelength modes below the mean free path. Comparisons of experiments in stellarator and tokamak plasmas reveal that different physical regimes produce distinct mechanisms for nonclassical resistivity, highlighting its link to anomalous diffusion.

Abstract

Experiments have shown the appearance of “nonclassical” resistivity, higher than that predicted by the known transport theory based on electron-ion collisions, in magnetically confined plasmas where the electron gyrofrequency is larger than the Langmuir frequency and the electric field is well below the runaway threshold. A theoretical interpretation of the anomalous resistivity onset is proposed observing that (at long but finite mean free paths) nonresonant modes, associated with the effects of electron-electron collisions, are excited when the electron flow velocity along the magnetic field is roughly larger than the ion sound-wave velocity. The magnitude of anomalous resistivity is then discussed in relation with the nonlinear effects of resulting fluctuations and of related modes with wavelengths shorter than the mean free path. A comparison between several experiments on plasma confined in different stellarator and tokamak configurations is given. The differences in physical regimes that lead to various mechanisms for the appearance of “nonclassical” resistivity and the relationship with anomalous diffusion are pointed out.

References

10