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The electromotive force generated by driven plasma motions

Published online by Cambridge University Press:  13 March 2009

C. G. Gimblett
Affiliation:
Cuiham Laboratory, Abingdon, Oxon, 0X14 3DB, UK (Euratom/UKAEA Fusion Association)

Abstract

We investigate the electromotive force produced by plasma motions which are excited by an assigned body force. Two specific enquiries are made: (i) Can the Hall term create helicity in a plasma which is isotropically forced? (ii) What is the general form of the turbulent electromotive force when magnetic shear is present in the system? It proves possible to answer (ii) for weak shear in the two cases of weak and strong magnetic field.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1976

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References

REFERENCES

Butt, E. P., Carruthers, R., Mitchell, J. T. D., Pease, R. S., Thonemann, P. C., Bird, M. A., Blears, J. & Hartill, E. R. 1958 In Proc. II International Conference on the Peaceful Uses of Atomic Energy, 32, 42, UN Geneva.Google Scholar
Cramér, H. 1940 Ann. Math. 41, 215.CrossRefGoogle Scholar
Ferraro, V. C. A. & Plumpton, C. 1966 An introduction to magneto-fluid mechanics. 2nd ed., Clarendon Press, Oxford.Google Scholar
Gimblett, C. G. & Watkins, M. L. 1975 VII European Conference on Controlled Fusion and Pla Physics, Lausanne.Google Scholar
Gubbins, D. 1974 Studies Appl. Math. 53, 157.CrossRefGoogle Scholar
Krause, , F. Private discussion.Google Scholar
Moffatt, H. K. 1970 J. Fluid Mech. 41, 435.CrossRefGoogle Scholar
Rädler, K. H. 1969Monatsber. Deut. Akad. Wiss., Berlin, 11, 194.Google Scholar
Roberts, P. H. 1972 a Phil. Trans. Roy. Soc. A, 272, 663.Google Scholar
Roberts, P. H. 1972 b Dyanamo Theory. In Mathematical Problems in the Geophysical Sciences (Ed. Reid, W. H.). Am. Math. Soc.Google Scholar
Roberts, P. H. & Soward, A. M. 1975 Astron. Nachr. Bd. 296, 49.CrossRefGoogle Scholar
Rüdiger, G. 1974 Astron Nachr. Bd. 295, 275.CrossRefGoogle Scholar
Steenbeck, M., Krause, F. & Rädler, K.-H. 1966Z. Naturforsch. A 21, 369.CrossRefGoogle Scholar
Vainshthin, S. I. 1972 Soy. Phys. JETP, 34, 327.Google Scholar