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Lookup NU author(s): Professor Axel Brandenburg
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Numerical evidence for a finite-time singularity in ideal 3D magnetohydrodynamics is presented. The simulations start from two interlocking magnetic flux rings with no initial velocity. Curvature shrinks the rings until they touch and current sheets form between them. The evidence for a singularity in a finite time tc is that the peak current density behaves like ||J||∞ ∼ 1/(tc - t) for a range of sound speeds and initial conditions. For the incompressible calculations ||ω||∞/||J||∞ → const. In resistive reconnection the magnetic helicity is nearly conserved while energy is dissipated.
Author(s): Kerr RM, Brandenburg A
Publication type: Article
Publication status: Published
Journal: Physical Review Letters
Print publication date: 09/08/1999
ISSN (print): 0031-9007
ISSN (electronic): 1079-7114
Publisher: American Physical Society
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