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Colloquium: Laboratory experiments on hydromagnetic dynamos
Rev. Mod. Phys. 74, 973 – Published 30 September, 2002
DOI: https://doi.org/10.1103/RevModPhys.74.973
Abstract
Cosmic magnetic fields, including the fields of planets, stars, and galaxies, are believed to be caused by dynamo action in moving electrically conducting fluids. While the theory and numerics of hydromagnetic dynamos have flourished during recent decades, an experimental validation of the effect was missing until recently. We sketch the long history towards a working laboratory dynamo. We report on the first successful experiments at the sodium facilities in Riga and Karlsruhe, and on other experiments which are carried out or planned at various places in the world.
References (133)
- Adzhemyan, L. Ts., N. V. Antonov, and A. N. Vasiliev, 1999, The Field Theoretic Renormalization Group Theory in Fully Developed Turbulence (Gordon and Breach, London).
- Alemany, A., Ph. Marty, F. Plunian, and J. Soto, 2000, J. Fluid Mech. 403, 262.
- Aristotle, 1986, De anima (On the soul) (Penguin, Harmonds worth), pp. 135–136.
- Arnold, V. I., and B. A. Khesin, 1998, Topological Methods in Hydrodynamics (Springer, New York).
- Balbus, S. A., and J. F. Hawley, 1991, Astrophys. J. 376, 214.
- Balbus, S. A., and J. F. Hawley, 1998, Rev. Mod. Phys. 70, 1.
- Beck, R., A. Brandenburg, D. Moss, A. Shukurov, and D. Sokoloff, 1996, Annu. Rev. Astron. Astrophys. 34, 155.
- Bevir, M. K., 1973, J. Br. Nucl. Energy Soc. 12, 455.
- Bourgoin, M., L. Marié, F. Pétrélis, C. Gasquet, A. Guigon, J.-B. Luciani, M. Moulin, F. Namer, J. Burguete, A. Chiffaudel, F. Daviaud, S. Fauve, P. Odier, and J.-F. Pinton, 2002, Phys. Fluids 14, 3046.
- Brito, D., P. Cardin, H.-C. Nataf, and G. Marolleau, 1995, Phys. Earth Planet. Inter. 91, 77.
- Bullard, E. C., 1949, Proc. R. Soc. London, Ser. A 197, 433.
- Bullard, E. C., 1955, Proc. Cambridge Philos. Soc. 51, 744.
- Bullard, E. C., and H. Gellman, 1954, Philos. Trans. R. Soc. London, Ser. A 247, 213.
- Busse, F. H., 1970, J. Fluid Mech. 44, 441.
- Busse, F. H., 1975, Geophys. J. R. Astron. Soc. 42, 437.
- Busse, F. H., 1978, Annu. Rev. Fluid Mech. 10, 435.
- Busse, F. H., 1992, in Evolution of Dynamical Structures in Complex Systems, edited by R. Friedrich and A. Wunderlin, Springer Proceedings in Physics Vol. 69 (Springer, Berlin), pp. 197–208.
- Busse, F. H., 2000, Annu. Rev. Fluid Mech. 31, 383.
- Busse, F. H., 2002, Phys. Fluids 14, 1301.
- Busse, F. H., and C. R. Carrigan, 1974, J. Fluid Mech. 62, 579.
- Busse, F. H., E. Grote, and A. Tilgner, 1998, Stud. Geophys. Geod. 42, 1.
- Cardin, P., D. Brito, D. Jault, H.-C. Nataf, and J.-P. Masson, 2002, Magnetohydrodynamics 38, 177.
- Carlson, J. B., 1975, Science 189, 753.
- Childress, S., and A. D. Gilbert, 1995, Stretch, Twist, Fold: The Fast Dynamo (Springer, Berlin).
- Christen, M., H. Hänel, and G. Will, 1998, in Beiträge zu Fluidenergiemaschinen 4, edited by W. H. Faragallah and G. Grabow (Faragallah-Verlag und Bildarchiv, Sulzbach/Ts.), pp. 111–119.
- Christensen, U., P. Olson, and G. A. Glatzmaier, 1999, Geophys. J. Int. 138, 393.
- Colgate, S. A., H. Li, and V. Pariev, 2001, Phys. Plasmas 8, 2425.
- Colgate, S. A., V. I. Pariev, H. F. Beckley, R. Ferrel, V. D. Romero, and J. C. Weatherall, 2002, Magnetohydrodynamics 38, 129.
- Connerney, J. E. P., M. H. Acuña, P. J. Wasilewski, G. Kletetschka, N. F. Ness, H. Rème, R. P. Lin, and D. L. Mitchell, 2001, Geophys. Res. Lett. 28, 4015.
- Cowling, T. G., 1934, Mon. Not. R. Astron. Soc. 140, 39.
- Dobler, W., and K.-H. Rädler, 1998, Geophys. Astrophys. Fluid Dyn. 89, 45.
- Drecker, A., G. Rüdiger, and R. Hollerbach, 2000, Mon. Not. R. Astron. Soc. 317, 45.
- Dudley, M. L., and R. W. James, 1989, Proc. R. Soc. London, Ser. A 425, 407.
- Faddeev, L., and A. J. Niemi, 2000, Phys. Rev. Lett. 85, 3416.
- Fearn, D. R., 1998, Rep. Prog. Phys. 61, 175.
- Fearn, D. R., P. H. Roberts, and A. M. Soward, 1988, in Energy, Stability, and Convection, edited by G. P. Galdi and B. Straughan (Longmans, New York), pp. 60–324.
- Forest, C. B., R. A. Bayliss, R. D. Kendrick, M. D. Nornberg, R. O’Connell, and E. J. Spence, 2002, Magnetohydrodynamics 38, 107.
- Frick, P., S. Denisov, S. Khripchenko, V. Noskov, D. Sokoloff, and R. Stepanov, 2001, in Dynamo and Dynamics, a Mathematical Challenge, edited by P. Chossat, D. Armbruster, and I. Oprea (Kluwer, Dordrecht), pp. 1–8.
- Frick, P., V. Noskov, S. Denisov, S. Khripchenko, D. Sokoloff, R. Stepanov, and A. Sukhanovsky, 2002, Magnetohydrodynamics 38, 143.
- Gailitis, A., 1967, Magnetohydrodynamics (N.Y.) 3, 23.
- Gailitis, A., 1970, Magnetohydrodynamics (N.Y.) 6, 14.
- Gailitis, A., 1973, Magnetohydrodynamics (N.Y.) 9, 445.
- Gailitis, A., 1989, in Topological Fluid Mechanics, Proceedings of the IUTAM Symposium, edited by H. K. Moffatt and A. Tsinober (Cambridge University, Cambridge, England), pp. 147–156.
- Gailitis, A., 1993, in Solar and Planetary Dynamos, edited by M. R. E. Proctor, P. C. Matthews, and A. M. Rucklidge (Cambridge University, Cambridge, UK), pp. 91–98.
- Gailitis, A., 1996, Magnetohydrodynamics (N.Y.) 32, 58.
- Gailitis, A., and Ya. Freibergs, 1976, Magnetohydrodynamics (N.Y.) 12, 127.
- Gailitis, A., and Ya. Freibergs, 1980, Magnetohydrodynamics (N.Y.) 16, 116.
- Gailitis, A., B. G. Karasev, I. R. Kirillov, O. A. Lielausis, S. M. Luzhanskii, A. P. Ogorodnikov, and G. V. Preslitskii, 1987, Magnetohydrodynamics (N.Y.) 23, 349.
- Gailitis, A., B. G. Karasev, I. R. Kirillov, O. A. Lielausis, and A. P. Ogorodnikov, 1989, in Liquid Metal Magnetohydrodynamics, edited by J. Lielpeteris and R. Moreau (Kluwer, Dordrecht), pp. 413–419.
- Gailitis, A., O. Lielausis, S. Dement’ev, E. Platacis, A. Cifersons, G. Gerbeth, Th. Gundrum, F. Stefani, M. Christen, H. Hänel, and G. Will, 2000, Phys. Rev. Lett. 84, 4365.
- Gailitis, A., O. Lielausis, E. Platacis, S. Dement’ev, A. Cifersons, G. Gerbeth, Th. Gundrum, F. Stefani, M. Christen, and G. Will, 2001, Phys. Rev. Lett. 86, 3024.
- Gailitis, A., O. Lielausis, E. Platacis, S. Dement’ev, A. Cifersons, G. Gerbeth, Th. Gundrum, F. Stefani, M. Christen, and G. Will, 2002, Magnetohydrodynamics 38, 5.
- Gailitis, A., O. Lielausis, E. Platacis, G. Gerbeth, and F. Stefani, 2001a, Magnetohydrodynamics 37, 71.
- Gailitis, A., O. Lielausis, E. Platacis, G. Gerbeth, and F. Stefani, 2001b, in Dynamo and Dynamics, a Mathematical Challenge, edited by P. Chossat, D. Armbruster, and I. Opera (Kluwer, Dordrecht), pp. 9–16.
- Gailitis, A., O. Lielausis, E. Platacis, G. Gerbeth, and F. Stefani, 2002, Magnetohydrodynamics 38, 15.
- Gans, R. F., 1970, J. Fluid Mech. 45, 111.
- Gellibrand, H., 1635, A Discourse Mathematical on the Variation of the Magneticall Needle, reprint edited by G. Hellmann (A. Asher, Berlin, 1887).
- Gilbert, A. D., 1988, Geophys. Astrophys. Fluid Dyn. 44, 241.
- Gilbert, W., 1600, De Magnete, translated by P. F. Mottelay (Dover, New York, 1958).
- Glatzmaier, G. A., and P. H. Roberts, 1995, Nature (London) 377, 203.
- Grasso, D., and H. R. Rubinstein, 2001, Phys. Rep. 348, 163.
- Gubbins, D., 1974, Rev. Geophys. Space Phys. 12, 137.
- Hale, G. E., 1908, Astrophys. J. 28, 315.
- Halley, E., 1692, Philos. Trans. R. Soc. London 17, 470.
- Herzenberg, A., 1958, Philos. Trans. R. Soc. London, Ser. A 250, 543.
- Hollerbach, R., 1996, Phys. Earth Planet. Inter. 98, 163.
- Holme, R., 1997, Phys. Earth Planet. Inter. 102, 105.
- Inglis, D. R., 1981, Rev. Mod. Phys. 53, 481.
- Ji, H., J. Goodman, and A. Kageyama, 2001, Mon. Not. R. Astron. Soc. 325, L1.
- Kageyama, A., M. M. Ochi, and T. Sato, 1999, Phys. Rev. Lett. 82, 5409.
- Kirko, I. M., G. E. Kirko, A. G. Sheinkman, and M. T. Telichko, 1982, Dokl. Akad. Nauk SSSR 266, 854.
- Kivelson, M. G., K. K. Khurana, C. T. Russell, R. J. Walker, J. Warnecke, F. V. Coroniti, C. Polanskey, D. J. Southwood, and G. Schubert, 1996, Nature (London) 384, 537.
- Kouveliotou, C., S. Dieters, T. Strohmayer, J. van Paradijs, G. J. Fishman, C. A. Meegan, K. Hurley, J. Kommers, I. Smith, D. Frail, and T. Murakami, 1998, Nature (London) 393, 235.
- Krause, F., and K.-H. Rädler, 1980, Mean-field Magnetohydrodynamics and Dynamo Theory (Akademie, Berlin).
- Kuang, W., and J. Bloxham, 1997, Nature (London) 389, 371.
- Kumar, S., and P. H. Roberts, 1975, Proc. R. Soc. London, Ser. A 344, 235.
- Larmor, J., 1919, Br. Assoc. Adv. Sci. 159–160.
- Lehnert, B., 1958, Ark. Fys. 13, 10. ibid.13, 109.
- Léorat, J., P. Lallemand, J. L. Guermond, and F. Plunian, 2001, in Dynamo and Dynamics, a Mathematical Challenge, edited by P. Chossat, D. Armbruster, and I. Oprea (Kluwer, Dordrecht), pp. 25–33.
- Lilley, F. E. M., 1970, Proc. R. Soc. London, Ser. A 316, 153.
- Lowes, F. J., and I. Wilkinson, 1963, Nature (London) 198, 1158.
- Lowes, F. J., and I. Wilkinson, 1968, Nature (London) 219, 717.
- Malkus, W. V. R., 1994, in Lectures on Solar and Planetary Dynamos, edited by M. R. E. Proctor and A. D. Gilbert (Cambridge University, Cambridge, England), pp. 161–179.
- Marié, L., J. Burguete, A. Chiffaudel, F. Daviaud, D. Ericher, C. Gasquet, F. Pétrélis, S. Fauve, M. Bourgoin, M. Moulin, P. Odier, J.-F. Pinton, A. Guigon, J.-B. Luciani, F. Namer, and J. Leorat, 2001, in Dynamo and Dynamics, a Mathematical Challenge, edited by P. Chossat, D. Armbruster, and I. Oprea (Kluwer, Dordrecht), pp. 35–50.
- Marié, L., F. Pétrélis, M. Bourgoin, J. Burguete, A. Chiffaudel, F. Daviaud, S. Fauve, P. Odier, and J.-F. Pinton, 2002, Magnetohydrodynamics 38, 163.
- Merrill, R. T., M. W. McElhinny, and Ph. L. McFadden, 1998, The Magnetic Field of the Earth: Paleomagnetism, the Core, and the Deep Mantle (Academic, San Diego).
- Merrill, R. T., and P. L. McFadden, 1999, Rev. Geophys. 37, 201.
- Moffatt, H. K., 1978, Magnetic Field Generation in Electrically Conducting Fluids (Cambridge University, Cambridge, England).
- Müller, U., and R. Stieglitz, 2000, Naturwissenschaften 87, 381.
- Nakajima, T., and M. Kono, 1991, Geophys. Astrophys. Fluid Dyn. 60, 177.
- Needham, J., 1962, Science and Civilisation in China (Cambridge University, Cambridge, England), Vol. 4, Pt. 1.
- Ness, N. F., K. W. Behannon, R. P. Lepping, and Y. C. Whang, 1975, Nature (London) 255, 204.
- O’Connell, R., R. Kendrick, M. Nornberg, E. Spence, A. Bayliss, and C. B. Forest, 2001, in Dynamo and Dynamics, a Mathematical Challenge, edited by P. Chossat, D. Armbruster, and I. Oprea (Kluwer, Dordrecht), pp. 59–66.
- Olesen, P., 1996, Phys. Lett. B 366, 117.
- Peffley, N. L., A. B. Cawthorne, and D. P. Lathrop, 2000, Phys. Rev. E 61, 5287.
- Peffley, N. L., A. G. Goumilevski, A. B. Cawthorne, and D. P. Lathrop, 2000, Geophys. J. Int. 141, 52.
- Pekeris, C. L., Y. Accad, and B. Shkoller, 1973, Philos. Trans. R. Soc. London, Ser. A 275, 425.
- Petrus Peregrinus de Maricourt, 1995, Opera (Scuola Normale Superiore, Pisa).
- Pierson, E. S., 1975, Nucl. Sci. Eng. 57, 155.
- Plunian, F., P. Marty, and A. Alemany, 1999, J. Fluid Mech. 382, 137.
- Ponomarenko, Yu. B., 1973, J. Appl. Mech. Tech. Phys. 14, 775.
- Rädler, K.-H., A. Apel, E. Apstein, and M. Rheinhardt, 1996, Astrophysical Institute, Potsdam, Report.
- Rädler, K.-H., E. Apstein, M. Rheinhardt, and M. Schüler, 1998, Stud. Geophys. Geod. 42, 1.
- Rädler, K.-H., M. Rheinhardt, E. Apstein, and H. Fuchs, 2002a, Magnetohydrodynamics 38, 41.
- Rädler, K.-H., M. Rheinhardt, E. Apstein, and H. Fuchs, 2002b, Magnetohydrodynamics 38, 73.
- Reighard, A. B., and M. R. Brown, 2001, Phys. Rev. Lett. 86, 2794.
- Roberts, G. O., 1972, Philos. Trans. R. Soc. London, Ser. A 271, 411.
- Roberts, P. H., 1994, in Lectures on Solar and Planetary Dynamos, edited by M. R. E. Proctor and A. D. Gilbert (Cambridge University, Cambridge, England), pp. 1–58.
- Roberts, P. H., and G. A. Glatzmaier, 2000, Rev. Mod. Phys. 72, 1081.
- Roberts, P. H., and T. H. Jensen, 1992, Phys. Fluids B 7, 2657.
- Roberts, P. H., and A. M. Soward, 1992, Annu. Rev. Fluid Mech. 24, 459.
- Rüdiger, G., and R. Arlt, 1999, in Advances in Nonlinear Dynamos, The Fluid Mechanics of Astrophysics and Geophysics Vol. 8, edited by A. Ferriz-Mas and M. M. Jiménez (Gordon and Breach, London).
- Rüdiger, G., and Y. Zhang, 2001, Astron. Astrophys. 378, 302.
- Ruzmaikin, A., D. Sokoloff, and A. Shukurov, 1988, J. Fluid Mech. 197, 39.
- Shew, W. L., D. R. Sisan, and D. P. Lathrop, 2001, in Dynamo and Dynamics, a Mathematical Challenge, edited by P. Chossat, D. Armbruster, and I. Oprea (Kluwer, Dordrecht), pp. 83–92.
- Siemens, C. W., 1867, Proc. R. Soc. London 15, 367.
- Simonyi, K., 1990, Kulturgeschichte der Physik (Urania, Leipzig), p. 343.
- Southwood, D. J., 1997, Planet. Space Sci. 45, 113.
- Steenbeck, M., I. M. Kirko, A. Gailitis, A. P. Klawina, F. Krause, I. J. Laumanis, and O. A. Lielausis, 1967, Monatsber. Dtsch. Akad. Wiss. Berlin 9, 714.
- Steenbeck, M., F. Krause, and K.-H. Rädler, 1966, Z. Naturforsch. A 21a, 369.
- Stefani, F., G. Gerbeth, and A. Gailitis, 1999, in Transfer Phenomena in Magnetohydrodynamic and Electroconducting Flows, edited by A. Alemany, Ph. Marty, and J. P. Thibault (Kluwer, Dordrecht), pp. 31–44.
- Stefani, F., G. Gerbeth, and K.-H. Rädler, 2000, Astron. Nachr. 321, 65.
- Stieglitz, R., and U. Müller, 1996 (Forschungszentrum Karlsruhe), Report FZKA 5716.
- Stieglitz, R., and U. Müller, 2001, Phys. Fluids 13, 561.
- Tilgner, A., 1997a, Acta Astron. et Geophys. Univ. Comenianae XIX, 51.
- Tilgner, A., 1997b, Phys. Lett. A 226, 75.
- Tilgner, A., 2000, Phys. Earth Planet. Inter. 117, 171.
- Tilgner, A., 2002, unpublished.
- Tilgner, A., and F. H. Busse, 2001, in Dynamo and Dynamics, a Mathematical Challenge, edited by P. Chossat, D. Armbruster, and I. Oprea (Kluwer, Dordrecht), pp. 109–116.
- Wheatstone, C., 1867, Proc. R. Soc. London 15, 369.
- Wilkinson, I., 1984, Geophys. Surv. 7, 107.
- Zandbergen, P. J. and D. Dijkstra, 1987, Annu. Rev. Fluid Mech. 19, 465.
- Zhang, K., and G. Schubert, 2000, Annu. Rev. Fluid Mech. 32, 409.