dorsal/arxiv
View SchemaNew tests for a singularity of ideal MHD
| Authors | Robert M. Kerr, Axel Brandenburg |
|---|---|
| Categories | |
| ArXiv ID | physics/0001016 |
| URL | https://arxiv.org/abs/physics/0001016 |
Abstract
Analysis using new calculations with 3 times the resolution of the earlier linked magnetic flux tubes confirms the transition from singular to saturated growth rate reported by Grauer and Marliani \cite{GrauerMar99} for the incompressible cases is confirmed. However, all of the secondary tests point to a transition back to stronger growth rate at a different location at late times. Similar problems in ideal hydrodynamics are discussed, pointing out that initial negative results eventually led to better initial conditions that did show evidence for a singularity of Euler. Whether singular or near-singular growth in ideal MHD is eventually shown, this study could have bearing on fast magnetic reconnection, high energy particle production and coronal heating.
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"abstract": "Analysis using new calculations with 3 times the resolution of the earlier\nlinked magnetic flux tubes confirms the transition from singular to saturated\ngrowth rate reported by Grauer and Marliani \\cite{GrauerMar99} for the\nincompressible cases is confirmed. However, all of the secondary tests point to\na transition back to stronger growth rate at a different location at late\ntimes. Similar problems in ideal hydrodynamics are discussed, pointing out that\ninitial negative results eventually led to better initial conditions that did\nshow evidence for a singularity of Euler. Whether singular or near-singular\ngrowth in ideal MHD is eventually shown, this study could have bearing on fast\nmagnetic reconnection, high energy particle production and coronal heating.",
"arxiv_id": "physics/0001016",
"authors": [
"Robert M. Kerr",
"Axel Brandenburg"
],
"categories": [
"physics.plasm-ph"
],
"title": "New tests for a singularity of ideal MHD",
"url": "https://arxiv.org/abs/physics/0001016"
},
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