Summary: -A paper by one of us has recently been published concerning the possibility of self-consistently computing the MagnetoFluidDynamic (MFD) stationary states (i.e. the generally non-static equilibria) of a cylindrical plasma column with simply connected cross-section, contained in a given (cylindrical, co-axial, perfectly conductive in its normal plane) shell, and with a vacuum (or gas) region, having annular crosssection, in between. Self-consistence refers to the full set of fluid equations which have been used, in some convenient approximation, to model the physical system considered: i.e. the mass, momentum and energy conservation equations, Maxwell system, linear constitutive relations (Ohms's and Fourier's generalized laws), and laws of state. The aim of the present study is to extend the above free-interface problem to the toroidal symmetry, limitedly to the case of a tone shell, and to solve it by a standard Ist-order asymptotic expansion w.r.t. the (small) inverse aspect ratio. This classical problem in plasma equilibrium theory, whose 7zon-self-consistent version was solved in the GO's by Shafranov, is faced here from the self-consistence standpoint in a systematic way. © Società Italiana di Fisica.
|Pages (from-to)||637 - 660|
|Number of pages||24|
|Journal||Nuovo Cimento della Societa Italiana di Fisica D - Condensed Matter, Atomic, Molecular and Chemical Physics, Biophysics|
|Publication status||Published - 1998|
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
Lo Surdo, C., & Guo, S. C. (1998). On the self-consistent Shafranov's problem. Nuovo Cimento della Societa Italiana di Fisica D - Condensed Matter, Atomic, Molecular and Chemical Physics, Biophysics, 20(5), 637 - 660.