Linear force-free field of a toroidal symmetry

Reconstruction of Solar Coronal Linear Force-Free Magnetic Field

reconstruction of solar coronal linear force-free magnetic field

A regularization method for the extrapolation of the photospheric solar magnetic field I. Linear force-free field

We present a method for reconstructing the magnetic field B above the photosphere {z = 0} as the solution of the boundary value problem (BVP) for a bounded regular forcefree magnetic field in Ω = {z > 0} from its boundary values supposed to be given on {z = 0}. We propose a way for regularizing the class of standard extrapolation methods which turns out to diverge quickly with height, because o...

Initial Data with Toroidal Conformal Symmetry

A new class of time-symmetric solutions to the initial value constraints of vacuum General Relativity is introduced. These data are globally regular, asymptotically flat (with possibly several asymptotic ends) and in general have no isometries, but a U(1) × U(1) group of conformal isometries. After decomposing the Lichnerowicz conformal factor in a double Fourier series on the group orbits, the...

Topological Symmetry Breaking of Self–interacting Fractional Klein–gordon Field on Toroidal Spacetime

Quartic self–interacting fractional Klein–Gordon scalar massive and massless field theories on toroidal spacetime are studied. The effective potential and topologically generated mass are determined using zeta function regularization technique. Renormalization of these quantities are derived. Conditions for symmetry breaking are obtained analytically. Simulations are carried out to illustrate r...