Abstract
Results are presented from two-dimensional MHD simulations of X-pinch implosion. The simulations were performed in the (r, z) and (x, y) geometries for homogeneous (dense plasma) and heterogeneous (core-corona) loads. The formation of a minidiode, the development of a neck and an X-radiating hot spot, and the influence of the plasma corona on the implosion dynamics of the dense X-pinch plasma were investigated. For through simulations, the conical neck model was used, whereas a detailed analysis of the X-ray burst was performed in the parabolic neck model. The MHD processes occurring during the implosion of oblique shock waves and the onset of instability of the plasma column were examined. It is found that, due to the quasi-periodic character of these processes, the neck compression proceeds in a cascade fashion. The plasma state in a hot spot just before the break of the neck is analyzed, and the possibility of generating fast particle beams is considered.
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S. M. Zakharov, G. V. Ivanenkov, A. A. Kolomenskii, et al., Pis’ma Zh. Tekh. Fiz. 8, 1060 (1982) [Sov. Tech. Phys. Lett. 8, 456 (1982)].
D. H. Kalantar and D. A. Hammer, Phys. Rev. Lett. 71, 3806 (1993).
S. A. Pikuz, T. A. Shelkovenko, V. M. Romanova, et al., Rev. Sci. Instrum. 68, 740 (1997).
G. V. Ivanenkov, S. A. Pikuz, T. A. Shelkovenko, et al., Fiz. Plazmy 26, 927 (2000) [Plasma Phys. Rep. 26, 868 (2000)].
G. V. Ivanenkov, S. A. Pikuz, T. A. Shelkovenko, et al., Zh. Éksp. Teor. Fiz. 118, 539 (2000) [JETP 91, 469 (2000)].
T. A. Shelkovenko, D. B. Sinars, S. A. Pikuz, and D. A. Hammer, Phys. Plasmas 8, 1305 (2001).
G. V. Ivanenkov and W. Stepniewski, Fiz. Plazmy 28, 886 (2002) [Plasma Phys. Rep. 28, 814 (2002)].
G. V. Ivanenkov and W. Stepniewski, Fiz. Plazmy 26, 24 (2000) [Plasma Phys. Rep. 26, 21 (2000)].
G. V. Ivanenkov and W. Stepniewski, J. Moscow Phys. Soc. 9, 337 (1999).
T. A. Shelkovenko, S. A. Pikuz, and J. D. Douglass, IEEE Trans. Plasma Sci. 34, 2336 (2006).
V. S. Imshennik and N. A. Bobrova, Dynamics of Collisional Plasmas (Énergoatomizdat, Moscow, 1997) [in Russian].
S. I. Braginskii, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Gostaomizdat, Moscow, 1963; Consultants Bureau, New York, 1965), Vol. 1.
V. F. D’yachenko and V. S. Imshennik, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Atomizdat, Moscow, 1974; Consultants Bureau, New York, 1980), Vol. 8.
N. A. Bobrova and P. V. Sasorov, Fiz. Plazmy 16, 403 (1990) [Sov. J. Plasma Phys. 16, 229 (1990)].
M. M. Basko, Teplofiz. Vys. Temp. 23, 483 (1985).
Yu. V. Afanas’ev, E. N. Gamalii, and V. B. Rozanov, Tr. FIAN 132, 10 (1982).
V. M. Zhdanov, Transport Phenomena in Multicomponent Plasmas (Énergoatomizdat, Moscow, 1982) [in Russian].
V. Ya. Karpov, A. P. Fadeev, and G. V. Shpatakovskaya, Preprint No. 110/1982 (Keldysh Inst. of Applied Mathematics, Russ. Acad. Sci., Moscow, 1982).
I. M. Bespalov and A. Ya. Polishchuk, Pis’ma Zh. Tekh. Fiz. 15(2), 4 (1989) [Sov. Tech. Phys. Lett. 15, 39 (1989)].
G. D. Tsakiris and K. Eidman, J. Quant. Spectr. Radiat. Transfer 38, 353 (1987).
I. G. Beĭgman, L. A. Vaĭnshteĭn, and A. V. Vinogradov, Astron. Zh. 46, 985 (1969).
Ya. B. Zel’dovich and Yu. P. Raizer Elements of Gas Dynamics and the Classical Theory of Shock Waves (Nauka, Moscow, 1966; Academic, New York, 1968).
V. S. Volokitin, I. O. Golosnoi, and N. N. Kalitkin, Izv. Vyssh. Uchebn. Zaved., Fizika, No. 4, 11 (1995) [Russ. Phys. J. 38, 336 (1995)].
K. Jach, Komputerowe Modelowanie Dynamicznych Odzialywan Cial Metoda Puntkow Swobodnych (PWN, Warsaw, 2001) [in Polish].
A. G. Aksenov and A. V. Gerusov, Fiz. Plazmy 21, 14 (1995) [Plasma Phys. Rep. 21, 11 (1995)].
S. Yu. Gus’kov, G. V. Ivanenkov, and W. Stepniewski, Proc. SPIE 5974, 59740T (2005).
S. Yu. Gus’kov, G. V. Ivanenkov, and W. Stepniewski, J. Phys. IV France 133, 187 (2006).
V. V. Vikhrev, Pis’ma Zh. Éksp. Teor. Fiz. 27, 104 (1978) [JETP Lett. 27, 95 (1978)].
V. V. Vikhrev, V. V. Ivanov, and K. P. Koshelev, Fiz. Plazmy 8, 1211 (1982) [Sov. J. Plasma Phys. 8, 688 (1982)].
R. S. Pease, Proc. Phys. Soc. London 70, 11 (1957).
S. I. Braginskii, Zh. Éksp. Teor. Fiz. 33, 645 (1957) [Sov. Phys. JETP 6, 494 (1957)].
J. W. Shearer, Phys. Fluids 19, 1426 (1976).
V. V. Vikhrev and K. G. Gureev, Zh. Tekh. Fiz. 48, 2264 (1978) [Sov. Phys. Tech. Phys. 23, 1295 (1978)].
F. N. Beg, A. Ciardi, I. Ross, et al., IEEE Trans. Plasma Sci. 34, 2325 (2006).
J. P. Chittenden, A. Ciardi, C. A. Jennings, et al., Phys. Rev. Lett. 98, 025 003 (2007).
A. F. Ioffe and A. R. Regel, Prog. Semicond. 41, C8 (1960).
T. A. Shelkovenko, S. A. Pikuz, D. B. Sinars, et al., Phys. Plasmas 9, 2165 (2002).
S. A. Pikuz, D. B. Sinars, T. A. Shelkovenko, et al., Phys. Rev. Lett. 89, 035 003 (2002).
S. V. Lebedev, A. Ciardi, D. J. Ampleford, et al., Mon. Not. R. Astron. Soc. 361, 97 (2005).
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Original Russian Text © G.V. Ivanenkov, W. Stepniewski, S.Yu. Gus’kov, 2008, published in Fizika Plazmy, 2008, Vol. 34, No. 8, pp. 675–694.
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Ivanenkov, G.V., Stepniewski, W. & Gus’kov, S.Y. MHD processes during the cascade development of the neck and hot spot in an X-pinch. Plasma Phys. Rep. 34, 619–638 (2008). https://doi.org/10.1134/S1063780X08080011
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DOI: https://doi.org/10.1134/S1063780X08080011