Twist transport in strongly torsioned astrophysical flux tubes |
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| Authors: | L C Garcia de Andrade |
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| Institution: | (1) Departamento de Física Teorica, Instituto de Física, UERJ, Rio de Janeiro, Brasil |
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| Abstract: | Riemannian geometrical effects on the expansion of the electron magnetohydrodynamical (EMH) superconductivity modeled twisted
nonplanar thin magnetic flux tubes are considered. A solution is found which represents almost incompressible plasma flows,
where the twist of flux tube is computed in terms of the continuous variation of its cross-section. It is shown that the twist
increases in regions where twisted flux tube expands as in Parker’s conjecture. From computation of compression along the
tube we show that when the torsion is weak a centrifugal or vorticity effect on the longitudinal direction of the tube enhances
the screening effect on the “superconductor”. Throughout the paper we consider helical flux tubes where torsion and curvature
of the tube are constants. Thus we show that the Parker’s conjecture is valid in a continuos manner for these type II superconducting
twisted flux tubes. Throughout the paper we adopt the approximation that the radial component of the magnetic field varies
so slowly along the tube axis that it can be approximated to zero along the tube. It is suggested that the models discussed
here may also be applied to DNA and nanotubes. |
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