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New terms in MHD equations and their implications for the inertial confinement fusion concept

  • S. K. H. Auluck (a1)


The MHD equations are rederived without neglecting the electron inertia and new terms are obtained. The revised equations predict that strong magnetic fields are spontaneously generated even in an ideally symmetric ICF implosion in contrast to the conventional theory where an ideal ICF implosion is considered to be free of magnetic fields. The dynamics of the implosion is found to be governed by the space-time structure of the magnetic field. Departures from neutrality are taken into account and an explicit equation is obtained for the evolution of the charge density. The complexity of the implosion problem is illustrated with reference to cylindrical and spherical geometries. The existence of this effect has been verified in the case of a Z-pinch. Experiments can be devised to detect it in existing ICF installations. It is suggested that scientific breakeven may be achieved using existing installations if the targets are optimized in accordance with the present theory.



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Atwood, D. T. 1978 J. Quant. Electron. 14, 909.
Auluck, S. K. H. 1986 a J. Plasma Phys. 35, 295.
Auluck, S. K. H. 1986 b J. Plasma Phys. 35, 311.
Auluck, S. K. H., Kulkarni, L. V. & Srinivasan, M. 1985 Proceedings of 4th International Workshop on Plasma Focus and Z Pinch Research, Warsaw.
Briand, J., Adrian, V., El Tamer, M., Gomes, A., Quemener, Y., Dinguirard, J. P. & Kieffer, J. C. 1985 Phys. Rev. Lett. 54, 38.
Chen, F. F. 1974 Introduction to Plasma Physics. Plenum.
Chakraborty, B., Khan, M. & Bhattacharya, B. 1986 J. App. Phys. (In press.)
Christiansen, J. P., Ashby, D. E. T. F. & Roberts, K. V. 1974 Comp. Phy. Com. 7, 271.
Coppi, B. 1965 Phys. Fluids, 8, 273.
Dawson, J. M., Furth, H. P. & Tenney, F. H. 1971 Phys. Rev. Lett. 26, 1156.
Emery, M. H., Gardener, J. H. & Boris, J. P. 1984 Report IAEA-CN-44, B-III-3, p. 129.
Hasegawa, A., Daido, H., Fujita, M., Mima, K., Murakami, M., Nakai, S., Nishihara, K., Terai, K. & Yamanaka, C. 1986 Phys. Rev. Lett. 56, 139.
Hora, H. 1985 Laser and Particle Beams, 3, 59.
Hora, H., Lalousis, P. & Eliezer, S. 1984 Phys. Rev. Lett. 53, 1650.
Kidder, R. E. 1976 Nucl. Fusion, 16, 3, 405.
Kidder, R. E. 1979 Nucl. Fusion, 19, 223.
Kirkpatrick, R. C. 1979 Nucl. Fusion, 19, 69.
Kirkpatrick, R. C. 1982 Nuclear Technology/Fusion, 2, 707.
Kirkpatrick, R. C. & Wheeler, J. A. 1981 Nucl. Fusion, 21, 389.
Korobkin, V. V. & Serov, R. V. 1966 JETP Lett. 4, 70.
Lehnert, B. 1959 Nuovo Cimento Suppl., Series X, 13, 59.
Lehnert, B. 1961 Arkiv. f. Fysik, 18, 251.
Lehnert, B. 1968 Arkiv. f. Fysik, 38, 499.
Lehnert, B. 1985 Comm. Plasma Phys. Cont. Fusion, 9, 91.
Lindemuth, I. R. & Kirkpatrick, R. C. 1983 Nucl. Fusion, 23, 263.
Longmire, C. L. 1963 Elementary Plasma Physics. Wiley.
Manheimer, W. M. 1977 Phys. Fluids, 20, 265.
Max, C. E., Manheimer, W. M. & Thomson, J. J. 1978 Phys. Fluids, 21, 728.
Mead, W. C. et al. 1984 Phys. Fluids, 27, 1301.
Mima, K., Nishihara, K., Yabe, T., Tsuji, R., Ido, S., Takabe, H., Nakai, S. & Yamanaka, C. 1984. Report IAEA-CN-44/B-III-1.
Morse, P. M. & Feshbach, H. 1963 Methods of Mathematical Physics. McGraw-Hill.
Nishiguchi, A., Yabe, T., Haines, M. G., Psimopoulos, M. & Takewaki, H. 1984 Phys. Rev. Lett. 53, 262.
Pearlman, J. S. & Anthes, J. P. 1975 App. Phys. Lett. 27, 581.
Rager, J. P. 1981 Proceedings of 2nd International Workshop on Plasma Focus and Z-Pinch Research, Moscow, p. 47.
Ramani, A. & Laval, G. 1978 Phys. Fluids, 21, 980.
Stamper, J. A., Papadopoulos, K., Sudan, R. N., Dean, S. O., McLean, E. A. & Dawson, J. M. 1971 Phys. Rev. Lett. 26, 1012.
Stamper, J. A. & Tidman, D. A. 1973 Phys. Fluids, 16, 2024.
Steiger, A. D. & Woods, C. H. 1972 Phys. Rev. A, 5, 1467.
Sugiaki, K. 1985 Jap. J. Appl. Phys. 24, 328.
Tidman, D. A. & Shanny, R. A. 1974 Phys. Fluids, 17, 1207.
Thomson, J. J., Max, C. E. & Eastabrook, K. 1975 Phys. Rev. Lett. 35, 663.
Young, F. C., Whitlock, R. R., Decoste, R., Ripin, B. H., Nagel, D. J., Stamper, J. A., McMahon, J. M. & Bodner, S. E. 1977 Appl. Phys. Lett. 30, 45.
Zimmerman, G. B. 1973 Report UCRL-74811.
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New terms in MHD equations and their implications for the inertial confinement fusion concept

  • S. K. H. Auluck (a1)


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