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dc.contributor.authorBerger, M.A.en_GB
dc.contributor.departmentUniversity of Exeter (at the time of publication the author was at University College London)en_GB
dc.date.accessioned2008-07-07T10:50:55Zen_GB
dc.date.accessioned2011-01-25T10:33:37Zen_GB
dc.date.accessioned2013-03-20T12:29:42Z
dc.date.issued1993-02-08en_GB
dc.description.abstractThis 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.citationVol. 70 (6), pp. 705 - 708
dc.identifier.doi10.1103/PhysRevLett.70.705en_GB
dc.identifier.urihttp://hdl.handle.net/10036/31092en_GB
dc.language.isoenen_GB
dc.publisherAmerican Physical Societyen_GB
dc.titleEnergy-crossing number relations for braided magnetic fieldsen_GB
dc.typeArticleen_GB
dc.date.available2008-07-07T10:50:55Zen_GB
dc.date.available2011-01-25T10:33:37Zen_GB
dc.date.available2013-03-20T12:29:42Z
dc.identifier.issn0031-9007en_GB
dc.identifier.issn1079-7114en_GB
dc.descriptionM. A. Berger, Physical Review Letters, Vol. 70, pp. 705-708 (1993). "Copyright © 1993 by the American Physical Society."en_GB
dc.identifier.journalPhysical Review Lettersen_GB


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