Ball lightning as a force-free magnetic knot

dc.contributor.authorFernández-Rañada, Antonio
dc.description© 2000 The American Physical Society. We are grateful to M. V. Berry, F. Blanco, D. Bouwmeester, D. K. Callebaut, A. Ibort, J. M. Montesinos, S. Singer, A. Tiemblo, and T. Tuomi for suggestions and encouragement.
dc.description.abstractThe stability of fireballs in a recent model of ball lightning is studied. It is shown that the balls shine while relaxing in:in almost quiescent expansion, and that three effects contribute to their stability: (i) the formation in each one during a process of Taylor relaxation of a force-free magnetic field, a concept introduced in 1954 in order to explain the existence of large magnetic fields and currents in stable configurations of astrophysical plas,nas; (ii) the so called Alfven conditions in magnetohydrodynamics; and (iii) the approximate conservation of the helicity integral. The force-free fields that appear are termed "knots" because their magnetic lines are closed and linked.
dc.description.departmentDepto. de Estructura de la Materia, Física Térmica y Electrónica
dc.description.facultyFac. de Ciencias Físicas
dc.identifier.citation[1] S. Singer, The Nature of Ball Lightning, Plenum Press, New York, 1971. [2] J.D. Barry, Ball and Bead Lightning, Plenum Press, New York, 1980. [3] M.A. Uman, Lightning, Dover, New York, 1984. [4] The Science of Ball Lightning, edited by Y.H. Ohtsuki, World Scientific, Singapore, 1989. [5] M. Stenhoff, Ball Lightning. An Unsolved Problem in Atmospheric Physics, Kluwer, Dordrecht, 1999. [6] Proceedings of the 6th International Symposium on Ball Lightning (ISBL99), edited by G. C. Dijkhuis, University of Antwerp, Antwerp, 1999. [7] Balls of Fire, Recent Research in Ball Lightning, edited by S. Singer, Springer Verlag, Berlin, in press. [8] A.F. Rañada and J.L. Trueba, Nature, London, 383, 32, 1996. [9] A.F. Rañada, M. Soler, and J.L. Trueba, J. Geophys. Res., 103, 23, 309, 1998. [10] K. Lust and A. Schlute, Z. Astrophys., 34, 263,1954. [11] I. Alexeff and M. Rader, Fusion Technol., 27, 271, 1995. [12] A.F. Rañada, J. Phys. A, 23, L815, 1990. [13] A.F. Rañada, Lett. Math. Phys., 18, 97, 1989. --- A.F. Rañada, J. Phys. A, 25, 1621, 1992. [14] A.F. Rañada and J.L. Trueba, Phys. Lett., 202A, 337 1995; 232A, 25, 1997. [15] H.K. Moffatt, J. Fluid Mech., 35, 117, 1969. [16] A.F. Rañada, Eur. J. Phys., 13, 70, 1992. [17] C.L. Rousculp and R.L. Stenzel, Phys. Rev. Lett., 79, 837, 1997. [18] R.L. Ricca, D.C. Samuels, and C.F. Barenghi, J. Fluid Mech., 391, 29, 1999. [19] G. Marsh, Force Free Magnetic Fields: Solutions, Topology and Applications, World Scientific, Singapore, 1996. [20] S. Chandrasekhar and L. Woltjer, Proc. Natl. Acad. Sci. U.S.A., 44, 285, 1958; L. Woltjer, ibid. 44, 489, 1958. [21] D. Voslamber and D.K. Callebaut, Phys. Rev., 128, 2016, 1962. [22] D.K. Callebaut, private communication. [23] J.B. Taylor, Rev. Mod. Phys., 58, 741, 1986. [24] D.L. Evans and R.S. Tankin, Phys. Fluids, 10, 1137, 1967. [25] H. Raether, Z. Phys., 112, 464, 1939. [26] I. Gallimberti, Pure Appl. Chem., 60, 663, 1988. [27] B.M. Smirnov, Phys. Rep., 188, 1, 1990. [28] Y.H. Ohtsuki and H. Ofuruton, Nature, London, 350, 139, 1991.
dc.journal.titlePhysical Review E
dc.publisherAmerican Physical Soc.
dc.rights.accessRightsopen access
dc.subject.ucmFísica (Física)
dc.subject.ucmElectrónica (Física)
dc.subject.unesco22 Física
dc.subject.unesco2202.03 Electricidad
dc.titleBall lightning as a force-free magnetic knot
dc.typejournal article
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
246.52 KB
Adobe Portable Document Format