Energy-crossing number relations for braided magnetic fields

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Energy-crossing number relations for braided magnetic fields

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dc.contributor.author Berger, M.A. en_GB
dc.contributor.department University of Exeter (at the time of publication the author was at University College London) en_GB
dc.date.accessioned 2008-07-07T10:50:55Z en_GB
dc.date.accessioned 2011-01-25T10:33:37Z en_US
dc.date.accessioned 2013-03-20T12:29:42Z
dc.date.issued 1993 en_GB
dc.description.abstract This Letter derives lower bounds on the energy of braided magnetic fields, based on crossing number techniques pioneered by Freedman and He. Mean crossing numbers are defined for magnetic fields inside a cylinder; for configurations with a uniform axial component the square of the crossing number provides a lower bound for the free magnetic energy. An energy-crossing number relation is also derived for a random field with Gaussian amplitude distribution, in the limit of small correlation lengths. These results provide information on the structure of solar coronal loops and on the problem of coronal heating. en_GB
dc.identifier.doi 10.1103/PhysRevLett.70.705 en_GB
dc.identifier.uri http://hdl.handle.net/10036/31092 en_GB
dc.language.iso en en_GB
dc.publisher American Physical Society en_GB
dc.relation.url http://dx.doi.org/10.1103/PhysRevLett.70.705 en_GB
dc.relation.url http://link.aps.org/abstract/PRL/v70/p705 en_GB
dc.title Energy-crossing number relations for braided magnetic fields en_GB
dc.type Article en_GB
dc.date.available 2008-07-07T10:50:55Z en_GB
dc.date.available 2011-01-25T10:33:37Z en_US
dc.date.available 2013-03-20T12:29:42Z
dc.identifier.issn 0031-9007 en_GB
dc.identifier.issn 1079-7114 en_GB
dc.description M. A. Berger, Physical Review Letters, Vol. 70, pp. 705-708 (1993). "Copyright © 1993 by the American Physical Society." en_GB
dc.identifier.journal Physical Review Letters en_GB


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