A moffatt-arnold formula for the mutual helicity of linked flux tubes

Peter Laurence; Marco Avellaneda

doi:10.1080/03091929308203581

A moffatt-arnold formula for the mutual helicity of linked flux tubes

Peter Laurence, Marco Avellaneda

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We show that Moffat's formula for the helicity of linked flux tubes is valid for arbitrary field line structure provided that helicity is replaced by mutual helicity, i.e. if self-helicities are excluded. We use Arnold's recent notion of asymptotic linking number to derive our result.

Original language	English (US)
Pages (from-to)	243-256
Number of pages	14
Journal	Geophysical & Astrophysical Fluid Dynamics
Volume	69
Issue number	1-4
DOIs	https://doi.org/10.1080/03091929308203581
State	Published - Jun 1993

Keywords

Helicity
ergodic theorem
linkage

ASJC Scopus subject areas

Computational Mechanics
Astronomy and Astrophysics
Geophysics
Mechanics of Materials
Geochemistry and Petrology

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10.1080/03091929308203581

Cite this

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title = "A moffatt-arnold formula for the mutual helicity of linked flux tubes",

abstract = "We show that Moffat's formula for the helicity of linked flux tubes is valid for arbitrary field line structure provided that helicity is replaced by mutual helicity, i.e. if self-helicities are excluded. We use Arnold's recent notion of asymptotic linking number to derive our result.",

keywords = "Helicity, ergodic theorem, linkage",

author = "Peter Laurence and Marco Avellaneda",

note = "Funding Information: This research was supported in part by US. Air Force grant AFOSR-90-0090, US. Army grant ARO-DAAL0389-KJ-0039a nd National Science Foundation grant NSF-DMS-90-05799. This work was completed while P.L. was visiting the Institute for Advanced Study. He would like to thank the School",

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doi = "10.1080/03091929308203581",

language = "English (US)",

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T1 - A moffatt-arnold formula for the mutual helicity of linked flux tubes

AU - Laurence, Peter

AU - Avellaneda, Marco

N1 - Funding Information: This research was supported in part by US. Air Force grant AFOSR-90-0090, US. Army grant ARO-DAAL0389-KJ-0039a nd National Science Foundation grant NSF-DMS-90-05799. This work was completed while P.L. was visiting the Institute for Advanced Study. He would like to thank the School

PY - 1993/6

Y1 - 1993/6

N2 - We show that Moffat's formula for the helicity of linked flux tubes is valid for arbitrary field line structure provided that helicity is replaced by mutual helicity, i.e. if self-helicities are excluded. We use Arnold's recent notion of asymptotic linking number to derive our result.

AB - We show that Moffat's formula for the helicity of linked flux tubes is valid for arbitrary field line structure provided that helicity is replaced by mutual helicity, i.e. if self-helicities are excluded. We use Arnold's recent notion of asymptotic linking number to derive our result.

KW - Helicity

KW - ergodic theorem

KW - linkage

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IS - 1-4

ER -

A moffatt-arnold formula for the mutual helicity of linked flux tubes

Abstract

Keywords

ASJC Scopus subject areas

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