Definition of the model
Human‐made dynamos are complex, multiconnected, asymmetric devices, but those operating in Nature have to function in geometrically‐simple (usually almost spherical) bodies of electrically conducting fluid, such as Earth's core. During the early development of dynamo theory, it seemed possible that no motion within such a simple “homogeneous” system could maintain a magnetic field, a feeling reenforced by some antidynamo theorems (see Antidynamo and bounding theorems and Cowling's theorem ). Whether homogeneous dynamos exist or not is an electrodynamic question, i.e., one that can be addressed without asking how the velocity V of the conductor is maintained and how a magnetic field B would affect it. It is necessary only to find a V that can sustain a nonzero B, and these are then called “kinematic dynamos”, to distinguish them from “MHD dynamos” which satisfy the full equations of magnetohydrodynamics. (See Dynamos, kinematic and Magnetohydrodynamics...
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Bibliography
Childress, S., and Gilbert, A.D., 1995. Stretch, Twist, Fold: The Fast Dynamo. Berlin: Springer.
Dudley, M.L., and James, R.W., 1989. Time‐dependent kinematic dynamos with stationary flows. Proceedings of the Royal Sociery of London, Series A, 425: 407–429.
Gailitis, A., 1990. In Moffatt, H.K., and Tsinober, A. (eds.), Topological Fluid Mechanics. Cambridge: University Press, pp. 147–156.
Gailitis, A., 1996, Design of a liquid sodium MHD dynamo experiment. Magnit. Gidro., (1), 68–74 (Eng. Trans. Magnetohydrodynamics, 32: 158–162.)
Gailitis, A.K., Freiberg, Ya. G., 1976. Theory of a helical MHD dynamo. Magnit. Gidro., (2), 3–6 (Eng. Trans. Magnetohydrodynamics, 12: 127–130.)
Gailitis, A.K., Freiberg, Ya. G., 1980. Nonuniform model of a helical dynamo. Magnit. Gidro., 15–19 (Eng. Trans. Magnetohydrodynamics, (1), 16: 11–15.)
Gailitis, A.K., Karasev, B.G., Kirillov, I.R., Lielausis, O.A., Luzhanskii, S.M., Ogorodnikov, A.P., Preslitskii, G.V., 1987. Experiment with a liquid‐metal model of an MHD dynamo, Magnit. Gidro., (4), 3–8 (Eng. Trans. Magnetohydrodynamics, 23: 349–352.)
Gailitis, A., Lielausis, O., Karasev, B.G., Kirillov, I.R., Ogorodnikov, A.P., 1989. In Lielpeteris, J., and Moreau, R. (eds.), Liquid Metal Magnetohydrodynamics. Dordrecht: Kluwer, pp. 413–419.
Gailitis, A.K., Lielausis, O.A., Dementev, S., Platacis, E., Cifersons, A., Gerbeth, G., Gundrum, T., Stefani, F., Christen, M., Hänel, H., Will, G., 2000. Detection of a flow induced magnetic field eigenmode in the Riga dynamo facility. Physics Review Letters, 84: 4365–4368.
Gailitis, A.K., Lielausis, O.A., Platacis, E., Dementev, S., Cifersons, A., Gerbeth, G., Gundrum, T., Stefani, F., Christen, M., Will, G., 2001. Magnetic field saturation in the Riga dynamo experiment, Physics Review Letters, 86: 3024–3027.
Gailitis, A.K., Lielausis, O.A., and Platacis, E., 2002. Colloquium: Laboratory experiments on hydromagnetic dynamos, Reviews of Modern Physics, 74: 973–990.
Gilbert, A.D., 1988. Fast dynamo action in the Ponomarenko dynamo. Geophysical and Astrophysical Fluid Dynamics, 44: 214–258.
Gilbert, A.D., 2003. In Friedlander, S., and Sevre, D. (eds.), Handbook of Mathematical Fluid Dynamics, 2: 355–441.
Lortz, D., 1968. Exact solutions of the hydromagnetic dynamo problem. Plasma Physics, 10: 967–972.
Parker, E.N., 1955. Hydromagnetic dynamo models. Astrophysical Journal, 122: 293–314.
Ponomarenko, Yu. B., 1973. On the theory of hydromagnetic dynamo. Zh. Prik. Mech. Tech. Fiz. SSSR (6): 47–51. (Eng. Trans. Journal of Applied Mechanics and Technical Physics, 14: 775–778.)
Roberts, P.H., 1987. In Nicolis, C., and Nicolis, G. (eds.), Irreversible Phenomena and Dynamical System Analysis in Geosciences. Dordrecht: Reidel, pp. 73–133.
Ruzmaikin, A.A., Sokoloff, D.D., Shukurov, A.M., 1988. A hydromagnetic screw dynamo. Journal of Fluid Mechanics, 197: 39–56.
Solovyev, A.A., 1985a. Magnetic field generation by the axially‐symmetric flow of conducting fluid. Physics of the Solid Earth, 4: 101–103.
Solovyev, A.A., 1985b. Couette spiral flows of conducting fluids consistent with magnetic field generation. Physics of the Solid Earth, 12: 40–47.
Solovyev, A.A., 1987. Excitation of a magnetic field by the movement of a conductive liquid in the presence of large values of the magnetic Reynolds number. Physics of the Solid Earth, 23: 420–423.
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Roberts, P.H. (2007). Dynamo, Ponomarenko. In: Gubbins, D., Herrero-Bervera, E. (eds) Encyclopedia of Geomagnetism and Paleomagnetism. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-4423-6_77
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