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Title:
Magnetic-field decay of three interlocked flux rings with zero linking number
Authors:
Del Sordo, Fabio; Candelaresi, Simon; Brandenburg, Axel
Affiliation:
AA(NORDITA, AlbaNova University Center, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden and Department of Astronomy, Stockholm University, SE 10691 Stockholm, Sweden), AB(NORDITA, AlbaNova University Center, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden and Department of Astronomy, Stockholm University, SE 10691 Stockholm, Sweden), AC(NORDITA, AlbaNova University Center, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden and Department of Astronomy, Stockholm University, SE 10691 Stockholm, Sweden)
Publication:
Physical Review E, vol. 81, Issue 3, id. 036401 (PhRvE Homepage)
Publication Date:
03/2010
Origin:
APS
PACS Keywords:
Magnetohydrodynamic and fluid equation, Magnetohydrodynamics, Magnetic reconnection
DOI:
10.1103/PhysRevE.81.036401
Bibliographic Code:
2010PhRvE..81c6401D

Abstract

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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