Abstract
An asymptotic model based on a reductive perturbative expansion of the drift kinetic and Maxwell’s equations is used to demonstrate that, near the instability threshold, the nonlinear dynamics of mirror modes in a magnetized plasma with anisotropic ion temperatures involves a subcritical bifurcation, leading to the formation of small-scale structures with amplitudes comparable with the ambient magnetic field.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
E. A. Lucek, M. W. Dunlop, T. S. Horbury, et al., Ann. Geophys. 19, 1421 (2001).
K. Sperveslage, F. M. Neubauer, K. Baumgärtel, and N. F. Ness, Nonlinear Process. Geophys. 7, 191 (2000).
J. Soucek, E. Lucek, and I. Danbouras, J. Geophys. Res. (submitted).
A. A. Vedenov and R. Z. Sagdeev, in Plasma Physics and Problem of Controlled Thermonuclear Reactions, Ed. by M. A. Leontovich (Akad. Nauk SSSR, Moscow, 1957; Pergamon, New York, 1958), Vol. 3, p. 332.
O. A. Pokhotelov, R. Z. Sagdeev, M. A. Balikhin, and R. A. Treumann, J. Geophys. Res. 109, A09213 (2004).
P. Hellinger, Phys. Plasmas 14, 082105 (2007).
S. P. Gary, J. Geophys. Res. 97(A6), 8519 (1992).
P. Hellinger and P. Travnicek, Geophys. Res. Lett. 110, A04210 (2005).
A. Hasegawa, Phys. Fluids 12, 2642 (1969).
A. N. Hall, J. Plasma Phys. 21, 431 (1979).
G. Erdös and A. Balogh, J. Geophys. Res. 101(A1), 1 (1996).
V. Génot, E. Budnik, C. Jacquey, et al., in AGU Fall Meeting Abstracts (2006), C1412+.
T. Passot, V. Ruban, and P. L. Sulem, Phys. Plasmas 13, 102310 (2006).
E. A. Kuznetsov, T. Passot, and P. L. Sulem, Phys. Rev. Lett. 8, 235003 (2007).
D. V. Sivukhin, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Gosatomizdat, Moscow, 1963; Consultants Bureau, New York, 1963), Vol. 1, p. 7.
R. M. Kulsrud, Basic Plasma Physics, Ed. by A. A. Galeev and R. Sudan (Énergoatomizdat, Moscow, 1983; North-Holland, Amsterdam, 1984), p. 115.
V. D. Shapiro and V. I. Shevchenko, Sov. Phys. JETP 18, 1109 (1964).
M. G. Kivelson and D. S. Southwood, J. Geophys. Res. 101, 365 (1996).
F. G. E. Pantellini, J. Geophys. Res. 103, 4789 (1998).
F. Califano, P. Hellinger, E. Kuznetsov, et al., J. Geophys. Res. (submitted).
E. A. Kuznetsov and S. L. Musher, Sov. Phys. JETP 64, 947 (1986).
S. K. Turitsyn, Phys. Rev. E 47, R13 (1993).
K. Baumgärtel, K. Sauer, and E. Dubinin, Geophys. Res. Lett. 30, 1761 (2003).
Author information
Authors and Affiliations
Additional information
The text was submitted by the authors in English.
Rights and permissions
About this article
Cite this article
Kuznetsov, E.A., Passot, T. & Sulem, P.L. Nonlinear theory of mirror instability near its threshold. Jetp Lett. 86, 637–642 (2008). https://doi.org/10.1134/S0021364007220055
Received:
Issue Date:
DOI: https://doi.org/10.1134/S0021364007220055