**Topological constraints on magnetic relaxation.** / Yeates, A. R.; Hornig, G.; Wilmot-Smith, A. L.

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Yeates, AR, Hornig, G & Wilmot-Smith, AL 2010, 'Topological constraints on magnetic relaxation' *Physical Review Letters*, vol 105, no. 8, 085002. DOI: 10.1103/PhysRevLett.105.085002

Yeates, A. R., Hornig, G., & Wilmot-Smith, A. L. (2010). Topological constraints on magnetic relaxation. *Physical Review Letters*, *105*(8), [085002]. DOI: 10.1103/PhysRevLett.105.085002

Yeates AR, Hornig G, Wilmot-Smith AL. Topological constraints on magnetic relaxation. Physical Review Letters. 2010 Aug 20;105(8). 085002. Available from, DOI: 10.1103/PhysRevLett.105.085002

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title = "Topological constraints on magnetic relaxation",

abstract = "The final state of turbulent magnetic relaxation in a reversed field pinch is well explained by Taylor's hypothesis. However, recent resistive-magnetohydrodynamic simulations of the relaxation of braided solar coronal loops have led to relaxed fields far from the Taylor state, despite the conservation of helicity. We point out the existence of an additional topological invariant in any flux tube with a nonzero field: the topological degree of the field line mapping. We conjecture that this constrains the relaxation, explaining why only one of three example simulations reaches the Taylor state.",

keywords = "Energy principle, Global invariants, Fields, Helicity, Reconnection, Plasmas",

author = "Yeates, {A. R.} and G. Hornig and Wilmot-Smith, {A. L.}",

year = "2010",

month = "8",

doi = "10.1103/PhysRevLett.105.085002",

volume = "105",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "8",

}

TY - JOUR

T1 - Topological constraints on magnetic relaxation

AU - Yeates,A. R.

AU - Hornig,G.

AU - Wilmot-Smith,A. L.

PY - 2010/8/20

Y1 - 2010/8/20

N2 - The final state of turbulent magnetic relaxation in a reversed field pinch is well explained by Taylor's hypothesis. However, recent resistive-magnetohydrodynamic simulations of the relaxation of braided solar coronal loops have led to relaxed fields far from the Taylor state, despite the conservation of helicity. We point out the existence of an additional topological invariant in any flux tube with a nonzero field: the topological degree of the field line mapping. We conjecture that this constrains the relaxation, explaining why only one of three example simulations reaches the Taylor state.

AB - The final state of turbulent magnetic relaxation in a reversed field pinch is well explained by Taylor's hypothesis. However, recent resistive-magnetohydrodynamic simulations of the relaxation of braided solar coronal loops have led to relaxed fields far from the Taylor state, despite the conservation of helicity. We point out the existence of an additional topological invariant in any flux tube with a nonzero field: the topological degree of the field line mapping. We conjecture that this constrains the relaxation, explaining why only one of three example simulations reaches the Taylor state.

KW - Energy principle

KW - Global invariants

KW - Fields

KW - Helicity

KW - Reconnection

KW - Plasmas

U2 - 10.1103/PhysRevLett.105.085002

DO - 10.1103/PhysRevLett.105.085002

M3 - Article

VL - 105

JO - Physical Review Letters

T2 - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 8

M1 - 085002

ER -