We study the dynamics of the formation of an intense magnetic flux tube (IMFT) from the background magnetic field by a converging plasma flow with nonlinear magnetic diffusion due to the Cowling conductivity. We confirm the formation of a stationary profile of the magnetic field that was obtained earlier and estimate its onset time. We also consider relaxation of the background field inhomogeneities in the course of their advection into the magnetic flux tube. In the case of nonzero projection of the electrical current on the magnetic field, we found a new mode of the field inhomogeneity relaxation in plasmas with a highly anisotropic resistivity tensor. In this mode, unlike the case of absence of currents along the magnetic flux tube axis, which was studied earlier, an impulsive component of the magnetic energy release is observed, and the magnetic field outside the impulsive component is nearly force-free. A qualitative description of this phenomenon is proposed, analytical estimates are given, and the results of numerical calculations are presented.
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Anisotropy of the plasma resistivity can be regarded as a specific case of the nonlinearity of the resistivity tensor \( \hat{\rho} \) due to the nonlinear expressions for the longitudinal and transverse components of the current relative to the magnetic field.
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 55, Nos. 10–11, pp. 657–670, October–November 2012.
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Kruglov, A.A. Dynamics of the formation of intense magnetic flux tubes on the sun by a converging plasma flow. Radiophys Quantum El 55, 593–604 (2013). https://doi.org/10.1007/s11141-013-9397-1
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DOI: https://doi.org/10.1007/s11141-013-9397-1