Abstract
The main characteristics of current sheets (CSs) formed in laboratory experiments are compared with the results of satellite observations of CSs in the Earth’s magnetotail. We show that many significant features of the magnetic field structure and the distributions of plasma parameters in laboratory and magnetospheric CSs exhibit a qualitative similarity, despite the enormous differences of scales, absolute values of plasma parameters, magnetic fields, and currents. In addition to a qualitative comparison, we give a number of dimensionless parameters that demonstrate the possibility of laboratory modeling of the processes occurring in the magnetosphere.
Similar content being viewed by others
References
S. I. Syrovatskii, Ann. Rev. Astron. Astrophys. 19, 163 (1981).
D. Biscamp, Magnetic Reconnection in Plasmas (Cambridge Univ. Press, Cambridge, 2000).
E. R. Priest and T. Forbes, Magnetic Reconnection. MHD Theory and Applications (Cambridge Univ. Press, Cambridge, 2000, Fizmatlit, Moscow, 2005).
Plasma Heliogeophysics, Ed. by L. M. Zelenyi and I. S. Veselovskii (Fizmatlit, Moscow, 2008), Vols. 1, 2 [in Russian].
P. A. Sweet, in Electromagnetic Phenomena in Cosmical Physics, Proceedings of the 6th IAU Symposium, Ed. by B. Lehnert (Cambridge Univ. Press, London, 1958), p. 123.
E. N. Parker, Astrophys. J. Suppl. 8, 177 (1963).
S. I. Syrovatskii, Sov. Astron. 10, 270 (1966), Sov. Phys. JETP 23, 754 (1966).
S. I. Syrovatskii, Sov. Phys. JETP 33, 933 (1971).
A. Bratenahl and A. Yeates, Phys. Fluids 11, 2696 (1970).
N. Ohyabu and N. Kawashima, J. Phys. Soc. Jpn. 33, 496 (1972).
S. I. Syrovatskii, A. G. Frank, and A. Z. Khodzhaev, JETP Lett. 15, 94 (1972).
A. T. Altyntsev and V. I. Krasov, Sov. Tech. Phys. 19, 1639 (1974).
R. L. Stenzel and W. Gekelman, J. Geophys. Res. 86, 649 (1981).
N. P. Kyrie, V. S. Markov, A. G. Frank, et al., Sov. J. Plasma Phys. 3, 303 (1977).
S. Yu. Bogdanov, V. S. Markov, and A. G. Frank, JETP Lett. 35, 290 (1982).
S. Yu. Bogdanov, G. V. Dreiden, N. P. Kyrie, et al., Sov. J. Plasma Phys. 18, 654 (1992).
N. P. Kyrie, V. S. Markov, and A. G. Frank, JETP Lett. 56, 82 (1992).
Y. Ono, A. Morita, M. Katsurai, et al., Phys. Fluids B 5, 3691 (1993).
M. Yamada, H. Ji, S. Hsu, et al., Phys. Plasmas 14, 1937 (1997).
A. G. Frank, Plasma Phys. Contr. Fusion 41 (Suppl. 3A), A687 (1999).
M. R. Brown, Phys. Plasmas 6, 1717 (1999).
J. Egedal, M. Oiroset, W. Fox, et al., Phys. Rev. Lett. 94, 025006 (2005).
T. P. Intrator, I. Furno, D. D. Ryutov, et al., J. Geophys. Res. 112, A05S90 (2007).
A. Bratenahl and P. J. Baum, Solar Phys. 47, 345 (1976).
S. V. Bulanov, V. A. Dogel’, and A. G. Frank, Sov. Astron. Lett. 10, 59 (1984).
A. Nishida, Geophys. Res. Lett. 21, 2871 (1994).
L. M. Zelenyi, P. Triska, and A. Petrukovich, Adv. Space Res. 20, 549 (1997).
C. P. Escoubet, M. Fehringer, and M. Goldstein, Ann. Geophys. 19, 1197 (2001).
V. Angelopoulos, Space Sci. Rev. 141, 5 (2008).
W. Baumjohann, A. Roux, O. Le-Contel, et al., Ann. Geophys. 25, 1365 (2007).
A. S. Sharma, R. Nakamura, A. Runov, et al., Ann. Geophys. 26, 955 (2008).
M. L. Goldstein, P. Escoubet, K.-J. Hwang, et al., J. Plasma Phys. 81, 325810301 (2015).
M. E. Koepke, Rev. Geophys. 46, 1 (2008).
E. G. Zweibel and M. Yamada, Ann. Rev. Astron. Astrophys. 47, 291 (2009).
M. Yamada, R. Kurlsrud, and H. Ji, Rev. Mod. Phys. 82, 603 (2010).
A. G. Frank, Phys. Usp. 53, 941 (2010).
A. V. Artemyev, A. A. Petrukovich, A. G. Frank, et al., J. Geophys. Res. 118, 2789 (2013).
E. V. Yushkov, A. G. Frank, A. V. Artemyev, A. A. Petrukovich, and I. Y. Vasko, Plasma Phys. Rep. 41, 71 (2015).
C. P. Escoubet, M. G. Taylor, A. Masson, et al., Ann. Geophys. 31, 1045 (2013).
M. W. Dunlop, A. Balogh, K.-H. Glassmeier, et al., J. Geophys. Res. 107, 1384 (2002).
A. G. Frank, S. Yu. Bogdanov, V. S. Markov, et al., Phys. Plasmas 12, 052316 (2005).
A. G. Frank, S. Yu. Bogdanov, G. V. Dreiden, et al., Phys. Lett. A 348, 318 (2006).
S. Yu. Bogdanov, G. V. Dreiden, V. S. Markov, G. V. Ostrovskaya, and A. G. Frank, Plasma Phys. Rep. 32, 1034 (2006).
S. Yu. Bogdanov, S. G. Bugrov, V. P. Gritsyna, O. V. Zverev, G. V. Karpov, V. S. Markov, D. V. Repin, and A. G. Frank, Plasma Phys. Rep. 33, 435 (2007).
S. Yu. Bogdanov, G. V. Dreiden, V. S. Markov, G. V. Ostrovskaya, and A. G. Frank, Plasma Phys. Rep. 33, 930 (2007).
A. G. Frank, S. G. Bugrov, and V. S. Markov, Phys. Plasmas 15, 092102 (2008).
G. S. Voronov, N. P. Kyrie, V. S. Markov, G. V. Ostrovskaya, and A. G. Frank, Plasma Phys. Rep. 34, 999 (2008).
A. G. Frank, S. G. Bugrov, and V. S. Markov, Phys. Lett. A 373, 1460 (2009).
N. P. Kyrie, V. S. Markov, and A. G. Frank, Plasma Phys. Rep. 36, 357 (2010).
A. G. Frank and S. N. Satunin, Plasma Phys. Rep. 37, 829 (2011).
A. G. Frank, N. P. Kyrie, and S. N. Satunin, Phys. Plasmas 18, 111209 (2011).
G. V. Ostrovskaya and A. G. Frank, Plasma Phys. Rep. 40, 21 (2014).
A. G. Frank and S. N. Satunin, JETP Lett. 100, 75 (2014).
N. P. Kyrie, V. S. Markov, A. G. Frank, et al., Plasma Phys. Rep. 42, 549 (2016).
S. Yu. Bogdanov, N. P. Kyrie, V. S. Markov, and A. G. Frank, JETP Lett. 71, 53 (2000).
S. I. Syrovatskii, Izv. Akad. Nauk SSSR 41, 1782 (1977).
S. Yu. Bogdanov, V. S. Markov, A. G. Frank, G. V.Dreiden, I. I. Komissarova, G. V. Ostrovskaya, and E. N. Shedova, Plasma Phys. Rep. 28, 549 (2002).
N. P. Kyrie, V. S. Markov, and A. G. Frank, JETP Lett. 95, 14 (2012).
N. P. Kyrie and A. G. Frank, Plasma Phys. Rep. 38, 960 (2012).
R. Nakamura, W. Baumjohann, A. Runov, et al., Space Sci. Rev. 122, 29 (2006).
R. Nakamura, W. Baumjohann, M. Fujimoto, et al., J. Geophys. Res. 113, A07S16 (2008).
A. V. Artemyev, A. A. Petrukovich, R. Nakamura, et al., J. Geophys. Res. 120, 3804 (2015).
A. Runov, V. A. Sergeev, R. Nakamura, et al., Ann. Geophys. 24, 247 (2006).
A. V. Artemyev, A. A. Petrukovich, R. Nakamura, et al., J. Geophys. Res. 116, A0923 (2011).
A. A. Petrukovich, A. V. Artemyev, I. Y. Vasko, et al., Space Sci. Rev. 188, 311 (2015).
A. V. Artemyev, W. Baumjohann, A. A. Petrukovich, et al., Ann. Geophys. 29, 2253 (2011).
S. Yu. Bogdanov, Yu. F. Bondar, V. B. Burilina, et al., Tech. Phys. 39, 877 (1994).
S. Yu. Bogdanov, V. B. Burilina, N. P. Kyrie, V. S. Markov, A. I. Morozov, and A. G. Frank, Plasma Phys. Rep. 24, 427 (1998).
A. V. Artemyev, A. A. Petrukovich, R. Nakamura, et al., J. Geophys. 115, A12255 (2010).
B. U. O. Sonnerup, in Solar System Plasma Physics, Ed. by L. T. Lanzerotti, C. F. Kannel, and E. N. Parker (North-Holland, Amsterdam, 1979), Vol. 3, p. 46.
T. Terasawa, Geophys. Res. Lett. 10, 475 (1983).
A. Bhattacharjee, Ann. Rev. Astron. Astrophys. 42, 365 (2001).
J. Birn, J. F. Drake, M. A. Shay, et al., J. Geophys. Res. 106, 3715 (2001).
J. D. Huba and L. I. Rudakov, Phys. Rev. Lett. 93, 175003 (2004).
M. A. Shay, J. F. Drake, B. N. Rogers, et al., J. Geophys. Res. 106, 3759 (2001).
D. Uzdensky and R. Kurlsrud, Phys. Plasmas 13, 062305 (2006).
Y. Yagi and N. Kawashima, Jpn. J. Appl. Phys. 24, L259 (1985).
A. G. Frank, S. Yu. Bogdanov, G. V. Dreiden, et al., in Proceedings of the 30th EPS Conference on Controled Fusion and Plasma Physics, St.-Petersburg, Russia, 2003, Ed. by R. Koch and S. Lebedev, EPS Series (Paris, 2003), Vol. 27A, P-1.35.
Y. Ren, M. Yamada, H. Ji, S. Gerhardt, et al., Phys. Rev. Lett. 95, 055003 (2005).
M. Brown, C. D. Cothram, and J. Fung, Phys. Plasmas 13, 056503 (2006).
M. Yamada, Y. Ren, H. Ji, J. Breslau, et al., Phys. Plasmas 13, 052119 (2006).
M. Oieroset, T. D. Phan, M. Fujimoto, et al., Nature 412, 414 (2001).
T. Nagai, I. Shinohara, M. Fujimoto, et al., J. Geophys. Res. 106, 25929 (2001).
A. Runov, R. Nakamura, W. Baumjohann, et al., Geophys. Res. Lett. 30, 1579 (2003).
J. P. Eastwood, T. D. Phan, M. Oieroset, et al., J. Geophys. Res. 115, A08215 (2010).
H. Alfvén, Astrophys. Space Sci. Libr. 82 (1981).
A. S. Kingsep, K. V. Chukbar, and V. V. Yan’kov, in Questions of Plasma Theory (Energoatomizdat, Moscow, 1987), No. 16, p. 243 [in Russian].
A. S. Kingsep, Introduction to Nonlinear Plasma Physics (MZ-PRESS, Moscow, 2004) [in Russian].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.G. Frank, A.V. Artemyev, L.M. Zelenyi, 2016, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2016, Vol. 123, No. 4, pp. 807–825.
Rights and permissions
About this article
Cite this article
Frank, A.G., Artemyev, A.V. & Zelenyi, L.M. Current sheets in the Earth’s magnetosphere and in laboratory experiments: The magnetic field structure and the Hall effect. J. Exp. Theor. Phys. 123, 699–715 (2016). https://doi.org/10.1134/S1063776116090119
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776116090119