Magnetic field decay of three interlocked flux rings with zero linking number

Details Magnetic field decay of three interlocked flux rings with zero linking number Magnetic field decay of three interlocked flux rings with zero linking number

2009-10-21

arxiv.org/abs/0910.3948v2

Phys. Rev. E 81, 036401 (2010)

Astronomy and Astrophysics

Astrophysics

Solar and Stellar Astrophysics

7 pages, 10 figures

Scientific paper

10.1103/PhysRevE.81.036401

The resistive decay of chains of three interlocked magnetic flux rings is considered. Depending on the relative orientation of the magnetic field in the three rings, the late-time decay can be either fast or slow. Thus, the qualitative degree of tangledness is less important than the actual value of the linking number or, equivalently, the net magnetic helicity. Our results do not suggest that invariants of higher order than that of the magnetic helicity need to be considered to characterize the decay of the field.

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