Evidence for topological nonequilibrium in magnetic configurations

Abstract

We use direct numerical simulations to study the evolution, or relaxation, of magnetic configurations to an equilibrium state. We use the full single-fluid equations of motion for a magnetized, non-resistive, but viscous fluid; and a Lagrangian approach is used to obtain exact solutions for the magnetic field. As a result, the topology of the magnetic field remains unchanged, which makes it possible to study the case of topological nonequilibrium. We find two cases for which such nonequilibrium appears, indicating that these configurations may develop singular current sheets.

10 pages, 5 figures

References in corpus (1)

• Iso-topological relaxation, coherent structures, and Gaussian turbulence in two dimensional magnetohydrodynamics

Cited by in corpus (2)

• On the existence of three-dimensional hydrostatic and magnetostatic equilibria of self-gravitating fluid bodies
• Strongly compressible current sheets under gravitation