Knotted linear force-free magnetic fields-topological aspects

Knotted linear force-free magnetic fields- topological sspects

The problem of computing linear force-free magnetic fields on a knotted multiply-connected domain is considered. The domain is the support of the current distribution, and the linear force-free fieldproblem reduces to finding an eigenfield of a self-adjoint curl operator. In this context, the GKN Theorem is reformulated in terms of symplectic geometry in order to characterize the self-adjoint e...

Reconstruction of Solar Coronal Linear Force-Free Magnetic Field

reconstruction of solar coronal linear force-free magnetic field

The Topological Nature of Boundary Value Problems for Force-free Magnetic Fields

The difficulties of constructing a three-dimensional, continuous force-free magnetic field in the solar corona are investigated through a boundary value problem posed for the unbounded domain external to a unit sphere. The normal field component Bn and the boundary value b of the twist function on the unit sphere, combined with the demand for a vanishing field at infinity, do constitute suffici...

Symmetries and solutions of equations describing force-free magnetic fields

New analytical results for two-dimensional force-free fields are presented. First, a number of exact solutions for force-free fields described by Liouville equation are given and their physical relevance for laboratory and astrophysical plasmas is discussed. Subsequently, Lie point symmetries of Liouville equation are reviewed and Lie point symmetries of the equation describing helically symmet...