Abstract
A non-perturbative calculation of the gyrotropic pressures associated with large-scale mirror modes is performed, taking into account a finite, possibly anisotropic electron temperature. In the small-amplitude limit, this leads to an extension of an asymptotic model previously derived for cold electrons. A model equation for the profile of subcritical finite-amplitude large-scale structures is also presented.
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P. L. Sulem, AIP Conf. Proc. 1356, 159 (2011).
V. Génot, E. Budnik, C. Jacquey, et al., in Adv. Geoscience, vol. 14: Solar Terrestrial, Ed. by M. Duldig (World Scientific, Singapore, 2009), p. 263.
A. A. Vedenov and R. Z. Sagdeev, in Plasma Physics and the Problem of Controlled Thermonuclear Reactions, vol. 3, Ed. by M. A. Leontovich (Pergamon, New York, 1958), p. 332.
Š. Štverák, P. Trávníček, M. Maksimovic, et al., J. Geophys. Res. 113, A03103 (2008).
T. H. Stix, The Theory of Plasma Waves (McGraw-Hill, New York, 1962).
F. G. E. Pantellini and S. J. Schwartz, J. Geophys. Res. 100, 3539 (1995).
V. Génot, S. J. Schwartz, C. Mazelle, et al., J. Geophys. Res. 106, 21611 (2001).
O. A. Pokhotelov, M. A. Balikhin, H. St.-C. K. Alleyne, and O. G. Onishchenko, J. Geophys. Res. 105, 2393 (2000).
P. Hellinger, Phys. Plasmas 14, 082105 (2007).
E. A. Kuznetsov, T. Passot, and P. L. Sulem, Phys. Plasmas 19, 090701 (2012).
A. N. Hall, J. Plasma Phys. 21, 431 (1979).
O. A. Phokhotelov, M. A. Balikhin, R. Z. Sagdeev, and R. A. Treumann, J. Geophys. Res. 110, A10206 (2005).
E. A. Kuznetsov, T. Passot, and P. L. Sulem, Phys. Rev. Lett. 98, 235003 (2007).
E. A. Kuznetsov, T. Passot, and P. L. Sulem, JETP Lett. 86, 637 (2007).
V. E. Zakharov and E. A. Kuznetsov, Phys. Usp. 55, 535 (2012).
O. D. Constantinescu, J. Atm. Solar-Terrest. Phys. 64, 645 (2002).
T. Passot, V. Ruban, and P. L. Sulem, Phys. Plasmas 13, 10231 (2005).
A. Hasegawa, Phys. Fluids 12, 2642 (1969).
F. Califano, P. Hellinger, E. Kuznetsov, et al., J. Geophys. Res. 113, A08219 (2008).
T. Passot, P. L. Sulem, E. Kuznetsov, and P. Hellinger, AIP Conf. Proc. 1188, 205 (2009).
V. D. Shapiro and V. I. Shevchenko, Sov. Phys. JETP 18, 1109 (1964).
D. Borgogno, T. Passot, and P. L. Sulem, Nonlin. Process. Geophys. 14, 373 (2007).
P. Hellinger, E. Kuznetsov, T. Passot, et al., Geophys. Res. Lett. 36, L06103 (2009).
H. Grad and H. Rubin, in Proceedings of the 2nd Conference on the Peaceful Use of Atomic Energy (IAEA, Geneva, 1958), v. 31, p. 190.
V. D. Shafranov, Sov. Phys. JETP 8, 545 (1958); Rev. Plasma Phys. 2, 103 (1966).
J. Soucek, E. Lucek, and I. Dandouras, J. Geophys. Res. 113, A04203 (2007).
V. Génot, E. Budnik, P. Hellinger, et al., Ann. Geophys. 27, 601 (2009).
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Kuznetsov, E.A., Passot, T. & Sulem, P.L. Nonlinear mirror modes in the presence of hot electrons. Jetp Lett. 96, 642–649 (2013). https://doi.org/10.1134/S0021364012220067
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DOI: https://doi.org/10.1134/S0021364012220067