Response to ``Comment on `Variational principles for stationary one- and two-fluid equilibria of axisymmetric laboratory and astrophysical plasmas' '' [Phys. Plasmas 12, 064701 (2005)]

Details Response to ``Comment on `Variational principles for stationary one- and two-fluid equilibria of axisymmetric laboratory and astrophysical plasmas' '' [Phys. Plasmas 12, 064701 (2005)] Response to ``Comment on `Variational principles for stationary one- and two-fluid equilibria of axisymmetric laboratory and astrophysical plasmas' '' [Phys. Plasmas 12, 064701 (2005)]

Jun 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005phpl...12f4702g&link_type=abstract

Physics of Plasmas, Volume 12, Issue 6, pp. 064702-064702-4 (2005).

Physics

2

Two-Fluid And Multi-Fluid Plasmas, Magnetohydrodynamics, Magnetohydrodynamic Waves, Macroinstabilities, Laboratory Studies Of Space- And Astrophysical-Plasma Processes, Magnetohydrodynamics And Plasmas, Stellar Atmospheres, Radiative Transfer, Opacity And Line Formation, Black Holes, Pulsars

Scientific paper

Contrary to the Comment by McClements and Thyagaraja that the two-fluid equations for stationary axisymmetric equilibria are easier to deal with numerically than the corresponding ideal magnetohydrodynamics (MHD) equations, since they resolve the Alfvén singularity of the latter whereas transonic transitions do not create substantial numerical difficulties, the opposite proposition is maintained. The numerical solution of the single (MHD) or two (two-fluid) Bernoulli equations already eliminates the Alfvén singularity, but it presents major complications (such as the possible nonexistence, multiplicity, and hyperbolicity of the solutions) in the construction of stationary equilibria that are accurate enough to permit spectral analysis of the waves and instabilities of those equilibria. Furthermore, it is shown that imposing charge neutrality on the two-fluid equations not only obscures the solution procedure of the two independent Bernoulli equations but also eliminates the possibility of a self-consistent description of the charge imbalances that occur in rotating and gravitating astrophysical plasmas, such as Goldreich-Julian charges in magnetospheres of pulsars and massive black holes.

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