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Force-Free Magnetic Fields: Solutions, Topology and Applications
TLDR
The virial theorem solutions to the force-free field equations field topology magnetic energy in multiply connected domains applications force free fields and electromagnetic waves proof of the Jacobi polynomial identities separation of the wave equation, cyclides and boundary conditions as mentioned in this paper.Abstract:
The virial theorem solutions to the force-free field equations field topology magnetic energy in multiply connected domains applications force-free fields and electromagnetic waves proof of the Jacobi polynomial identities separation of the wave equation, cyclides and boundary conditions.read more
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The Biot–Savart operator for application to knot theory, fluid dynamics, and plasma physics
TL;DR: In this paper, the authors reveal new properties of the Biot-Savart operator which are useful in these applications and convert them into bounds on the writhing number of a given piece of DNA.
Journal ArticleDOI
One-Dimensional Vlasov-Maxwell Equilibrium for the Force-Free Harris Sheet
TL;DR: The first nonlinear force-free Vlasov-Maxwell equilibrium is presented, where one component of the equilibrium magnetic field has the same spatial structure as the Harris sheet, but whereas theHarris sheet is kept in force balance by pressure gradients, in the force- free solution presented here force balance is maintained by magnetic shear.
Journal ArticleDOI
Parallel Construction of Nonlinear Force-Free Fields
TL;DR: In this paper, a numerical approach to calculating nonlinear force-free fields is presented, which is similar to Sakurai's approach, in that the field is directly constructed on a grid without the intermediate solution of a large system of nonlinear equations.
Journal ArticleDOI
Motion of charged particles in an electromagnetic knot
M. Arrayás,J. L. Trueba +1 more
TL;DR: In this article, the relativistic motion of charged particles in a knotted electromagnetic field is studied and a mean quadratic radius of the energy density distribution is introduced to study the properties of this field.
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Ball Lightning Investigations
TL;DR: Bychkov, Nikitin and Dijkhuis as mentioned in this paper presented a general review covering investigations from 1838 until the present day, and included a discussion on observation data, experimental modeling, and theoretical approaches.