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MHD Equilibrium Equation in Symmetric Systems

2011/03/25 by M Y Kucinski, Kucinski, Mutsuko Y., Iberê L. Caldas +1
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Plasma Physics (physics.plasm-ph)

paper · pdf · doi:10.48550/arxiv.1103.5063

openalex publication_date 2011/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In MHD symmetric systems the equilibrium physical quantities are dependent on two variables only. In this cases it is possible to find a magnetic surface function that has the same symmetry. Under the assumption that the metric determinant is also independent of a third, ignorable coordinate, a general MHD equilibrium equation in curvilinear coordinates is deduced. This equation is specially useful when non-orthogonal generalized coordinates are used.

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