Abstract
Based on the experimental data and the energy balance of the cylindrically symmetric Z-pinch in gas, a nonlinear differential equation for the plasma filament (layer) radius was derived. From this equation, for the instant of the filament detachment from the discharge chamber wall, the dependence of the initial filament compression rate on the initial discharge and gas parameters was determined, which was compared with experimental data obtained by us and other researchers. It was shown that the dependence found is in agreement with experimental data within measurement error.
Similar content being viewed by others
References
J. Busck and H. Heiselberg, Proc. SPIE 5412, 257 (2004).
J. Anderson, J. Busck, and H. Heiselberg, Proc. SPIE 5791, 9 (2005).
S. A. Shuteev, Candidate’s Dissertation in Mathematics and Physics (MGU, Moscow, 2005).
U. Yusupaliev, S. A. Shuteev, and P. U. Yusupaliev, Kratkie Soobshcheniya po Fizike FIAN 35(6), 21 (2008) [Bulletin of the Lebedev Physics Institute 35, 174 (2008)].
A. F. Aleksandrov and A. A. Rukhadze, Physics of High-Current Electric-Discharge Light Sources (Atomizdat, Moscow, 1976) [in Russian].
B. L. Borovich, V. B. Rozanov, V. S. Zuev, et al. in High-Current Emitting Discharges and Optically Pumped Gas Lasers. Itogi Nauki i Tekhniki., Ser. Radiotekhnika, Vol. 15 (VINITI, Moscow, 1978), p. 79 [in Russian].
Pulsed Light Sources, Ed. by I. S. Marshak (Energiya, Moscow, 1978) [in Russian].
Radiation Plasma Dynamics, Vol. 1 (Energoatomizdat, Moscow, 1991) [in Russian].
V. V. Aleksandrov, A. I. Gorlanov, N. G. Kovalskii, et al., “Is the Z Pinch Applicable as a Reference Radiation Source in Vacuum Ultraviolet?,” in Plasma Diagnostics, Vol. 3 (Atomizdat, Moscow, 1973), pp. 80–87 [in Russian].
A. F. Aleksandrov, A. T. Savichev, O. I. Surov, et al. Fiz. Plazmy 5(1), 184 (1979).
A. F. Aleksandrov, V. I. Artamonov, I. B. Timofeev, and U. Yusupaliev, in Proceedings of ICPIG, part 2, Minsk, Belorussia, 1981 (BGU, Minsk, 1981), p. 14.
V. I. Artamonov, Candidate’s Dissertation in Mathematics and Physics (MGU, Moscow, 1981).
L. A. Artsimovich, Controlled Thermonuclear Reactions (Fizmatgiz, Moscow, 1963) [in Russian].
A. M. Andrianov, O. A. Bazilevskaya, and Yu. G. Prokhorov, “Study of Pulsed Discharges in Gases at a Current of 500 kA,” in Plasma Physics and Problems of Controlled Thermonuclear Reactions, Vol. 2 (AN SSSR, Moscow, 1958), p. 185 [in Russian].
V. S. Komelkov, Zh. Eksp. Teor. Fiz. 35, 16 (1958).
V. S. Komelkov, T. I. Morozova, Yu. V. Skvortsov, in Plasma Physics and Problems of Controlled Thermonuclear Reactions, Vol. 2 (AN SSSR, Moscow, 1958), p. 170 [in Russian].
A. M. Andrianov, O. A. Bazilevskaya, Yu. G. Prokhorov, in Plasma Physics and Problems of Controlled Thermonuclear Reactions, Vol. 4 (AN SSSR, Moscow, 1958), p. 182 [in Russian].
Yu. S. Gvaladze, Candidate’s Dissertation in Mathematics and Physics (Sukhumi, 1972).
S. Yu. Luk’yanov, Hot Plasma and Controlled Nuclear Fusion (Nauka, Moscow, 1975) [in Russian].
M. A. Leontovich and S.M. Osovets, At. Energ. 3, 81 (1956) [Sov. At. Energy 1, 371 (1956)].
S. I. Braginskii, I. M. Gelfand, and R. P. Fedorenko, “Theory of Compression and Pulsations of a Plasma Column in the Powerful Pulsed Discharge,” in Plasma Physics and Problems of Controlled Thermonuclear Reactions, Vol. 4 (AN SSSR, Moscow, 1958), p. 201 [in Russian].
V. V. Vikhrev and S. I. Braginskii, “Dynamics of the Z-Pinch,” in Plasma Theory Problems, Ed. by M.A. Leontovich, Vol. 10 (Atomizdat, Moscow, 1980), p. 243 [in Russian].
V. S. Imshennik and N. A. Bobrova, Dynamics of Collisional Plasma (Energoatomizdat, Moscow, 1997) [in Russian].
Plasma Diagnostics, Ed. by W. Lochte-Holtgreven (North-Holland, Amsterdam, 1968; Mir, Moscow, 1971).
U. Yusupaliev, Kratkie Soobshcheniya po Fizike FIAN 35(4), 36 (2008) [Bulletin of the Lebedev Physics Institute 35, 122 (2008)].
U. Yusupaliev, “Determination of Some Features of Cumulation of a Cylindrical Shock Wave of the LinearZ-Pinch in Gas,” in Proceeding of the Conference “Lomonosov Lectures”, Sec. Physics. Moscow, Russia, 2008 (MGU, Moscow, 2008), p. 231.
Author information
Authors and Affiliations
Additional information
Original Russian Text © U. Yusupaliev, S.A. Shuteev, 2008, published in Kratkie Soobshcheniya po Fizike, 2008, Vol. 35, No. 10, pp. 40–48.
About this article
Cite this article
Yusupaliev, U., Shuteev, S.A. Initial compression rate of the cylindrically symmetric Z-pinch in gas. Bull. Lebedev Phys. Inst. 35, 317–322 (2008). https://doi.org/10.3103/S1068335608100059
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1068335608100059