A previous investigation by one of us, concerning the self-consistent equilibria of a two-region (plasma + gas) cylindrical Tokamak, is extended to the similar equilibria of a Reversed-Field Pinch, where a significant current density is driven by a dynamo electric field due to turbulence. The previous model has been generalized under the following basic assumptions: a) to the lowest order, the turbulent dynamo electric field ε(t)is expressed as a homogeneous function of degree 1 of the magnetic field B, say ε(t)= α·B, with α being a 2nd-rank tensor, homogeneous of degree 0 in B, and generally depending on the plasma state; b) ε(t)does not appear in the plasma power balance, as if it were produced by a Maxwell demon able to extract the needed power from the plasma internal energy. In particular we show that, in the simplest case when both α and the plasma resistivity η are isotropic and constant, the magnetic field turns out force-free with constant abnormality αμ0/η for vanishing axial electric field Ez. This case has also been solved analytically, for whatever Ez, under circular, besides cylindrical, symmetry.
|Pages (from-to)||1425 - 1442|
|Number of pages||18|
|Journal||Nuovo Cimento della Societa Italiana di Fisica D - Condensed Matter, Atomic, Molecular and Chemical Physics, Biophysics|
|Publication status||Published - 1996|
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
Lo Surdo, C., Guo, S. C., & Paccagnella, R. (1996). Self-consistent equilibria in a cylindrical reversed-field pinch. Nuovo Cimento della Societa Italiana di Fisica D - Condensed Matter, Atomic, Molecular and Chemical Physics, Biophysics, 18(12), 1425 - 1442. https://doi.org/10.1007/BF02453784