Abstract
A qualitative model of the dynamics of a multiterawatt radiating Z-pinch with cold start and high rate of current rise is proposed. The model is used to analyze discharges with currents I ∼ 2–5 MA (with dI/dt > 1013 A/s) through uniform or structured plasma-producing loads, including wire arrays. The most important consequence of cold start is that spatially nonuniform plasma production is prolonged to almost the entire current rise time. Under these conditions, the Ampére force begins to play a dominant role in the plasma dynamics before the plasma-producing load is completely transformed into an accelerated plasma. The results of computations of wire-array vaporization are presented. A formula is proposed for estimating the highest attainable velocity of plasma flow into a heterogeneous liner driven by the Ampére force. It is shown that local imbalance between radial motion of the produced plasma and supply of the plasma-producing substance to be ionized leads to axially nonuniform breakthrough of magnetic flux into the liner, which precedes plasma collapse. The magnetic-flux breakthrough gives rise to a chaotic azimuthal-axial plasma structure consisting of radial plasma jets of relatively small diameter, which is called a radial plasma rainstorm. The breaking-through azimuthal magnetic flux obstructs further current flow in the breakthrough region. Analyses of Z-pinch implosion based on the theory of Rayleigh-Taylor instability or the snowplow model are incorrect under the plasma-rainstorm conditions. The processes taking place in a stagnant Z-pinch include conversion of the energy carried by the current-generated magnetic field into turbulent MHD flow of the ion component of the plasma, its convective mixing with magnetic field, heating, energy transfer from ions to electrons, and emission from the plasma. Under typical experimental conditions, emission plays a key role in the energy balance in an imploding pinch. Z-pinch is modeled by an electric-circuit component that has a time-dependent nonlinear impedance and consumes the magnetic energy supplied by a generator through a magnetically insulated transmission line (MITL). The peak power reached in the circuit is comparable to the peak soft X-ray power output emitted by the pinch in terms of magnitude and timing. Optimum matching conditions are formulated for the generator-MITL-pinch circuit.
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References
A. V. Branitskii, S. A. Dan’ko, A. V. Gerusov, et al., Fiz. Plazmy 22, 307 (1996) [Plasma Phys. Rep. 22, 277 (1996)].
A. V. Branitskii, V. V. Aleksandrov, E. V. Grabovskii, et al., Fiz. Plazmy 25, 1060 (1999) [Plasma Phys. Rep. 25, 976 (1999)].
V. V. Aleksandrov, A. V. Branitskii, G. S. Volkov, et al., Fiz. Plazmy 27, 99 (2001) [Plasma Phys. Rep. 27, 89 (2001)].
V. V. Alexandrov, I. N. Frolov, M. V. Fedulov, et al., IEEE Trans. Plasma Sci. 30, 559 (2002).
V. V. Aleksandrov, E. V. Grabovskii, G. G. Zukakishvili, et al., Zh. Éksp. Teor. Fiz. 124, 829 (2003) [JETP 97, 745 (2003)].
D. D. Ryutov, M. S. Derzon, and M. K. Matzen, Rev. Mod. Phys. 72, 167 (2000).
M. G. Haines, IEEE Trans. Plasma Sci. 30, 588 (2002).
M. G. Haines, S. V. Lebedev, J. P. Chittenden, et al., in Proceedings of 5th International Conference on Dense Z-pinches (Albuquerque, New Mexico, 2002); AIP Conf. Proc. 651, 345 (2002).
R. H. Lovberg, R. A. Raily, and J. S. Shlachter, in Proceedings of 3rd International Conference on Dense Z-pinches (London, UK, 1993); AIP Conf. Proc. 299, 59 (1993).
L. I. Rudakov, A. L. Velikovich, J. Davis, et al., Phys. Rev. Lett. 84, 3326 (2000).
T. W. L. Sanford, N. R. Roderick, R. C. Mock, et al., IEEE Trans. Plasma Sci. 30, 538 (2002).
D. H. McDaniel, M. G. Mazarakis, D. E. Bliss, et al., in Proceedings of 5th International Conference on Dense Z-pinches (Albuquerque, New Mexico, 2002); AIP Conf. Proc. 651, 23 (2002).
E. A. Azizov, V. V. Alexandrov, S. G. Alikhanov, et al., in Proceedings of 5th International Conference on Dense Z-pinches (Albuquerque, New Mexico, 2002); AIP Conf. Proc. 651, 29 (2002).
R. B. Baksht, A. G. Russkikh, and A. A. Chagin, Fiz. Plazmy 23, 195 (1997) [Plasma Phys. Rep. 23, 175 (1997)].
L. Karpinski, M. Scholz, W. Stepnevski, et al., in Proceedings of 4th International Conference on Dense Z-pinches (Vancouver, Canada, 1997); AIP Conf. Proc. 409, 169 (1997).
J. P. Chittenden, S. N. Bland, et al., in Proceedings of 5th International Conference on Dense Z-pinches (Albuquerque, New Mexico, 2002); AIP Conf. Proc. 651, 65 (2002).
P. R. Levashov, Preprint No. 1-446, OIVT RAN (Joint Inst. for High Temperatures, Russian Academy of Sciences, Moscow, 2000).
Studies of Metals in Liquid and Solid States (to 80-Year Anniversary of I. P. Bardin) (Nauka, Moscow, 1964) [in Russian].
V. E. Fortov and I. T. Yakubov, Physics of Nonideal Plasma (Akad. Nauk SSSR, Chernogolovka, 1984) [in Russian].
I. T. Yakubov, Usp. Fiz. Nauk 163(5), 35 (1993) [Phys. Usp. 36, 365 (1993)].
Ya. B. Zel’dovich and Yu. P. Raizer, Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena, 2nd ed. (Nauka, Moscow, 1966; Academic, New York, 1966 and 1967), Vols. 1 and 2.
A. S. Kingsep, Introduction to the Nonlinear Plasma Physics (Mosk. Fiz.-Tekh. Inst., Moscow, 1996), p. 207 [in Russian].
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Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 126, No. 6, 2004, pp. 1317–1343.
Original Russian Text Copyright © 2004 by Alexandrov, Grabovsky, Zurin, Krasovsky, Mitrofanov, Nedoseev, Oleinik, Porofeev, Samokhin, Sasorov, Smirnov, Fedulov, Frolov.
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Alexandrov, V.V., Grabovsky, E.V., Zurin, M.V. et al. Characteristics of high-power radiating imploding discharge with cold start. J. Exp. Theor. Phys. 99, 1150–1172 (2004). https://doi.org/10.1134/1.1854802
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DOI: https://doi.org/10.1134/1.1854802