Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On self and mutual winding helicity   The topological underpinning of magnetic fields connected to a planar
boundary is naturally described by field line winding. This observation leads
to the definition of winding helicity, which is closely related to the more
commonly calculated relative helicity. Winding helicity, however, has several
advantages, and we explore some of these in this work. In particular, we show,
by splitting the domain into distinct subregions, that winding helicity can be
decomposed naturally into "self" and "mutual" components and that these
quantities can be calculated, in practice, for magnetic fields with complex
geometries and topologies. Further, winding provides a unified topological
description from which known expressions for self and mutual helicity can be
readily derived and generalized. We illustrate the application of calculating
self and mutual winding helicities in a simulation of an evolving magnetic
field with non-trivial field line topology.

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The categories of this paper are: atom-ph
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The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
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The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
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The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: cs
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph