On the possibility of the development of longitudinal wave instabilities on the background of the small-scale Bernstein turbulence in preflare chromosphere of a solar active region

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1Kryshtal, AN, 1Voitsekhovska, AD, 1Gerasimenko, SV, 2Sidorenko, MV
1Main Astronomical Observatory of the National Academy of Sciences of Ukraine, Kyiv, Ukraine
2Astronomical Observatory of Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
Kinemat. fiz. nebesnyh tel (Online) 2014, 30(5):39-55
Start Page: Solar Physics
Language: Russian
Abstract: 

We investigate the process of rise and development for instabilities of the longitudinal waves of two types, namely, low-frequency ion-acoustic and high-frequency (“electronic”) Langmuir ones, for preflare solar atmosphere plasma in an active region. The area under investigation is located at the chromosphere part of the flare loop near its footpoint. The large-scale weak electric field of flare loop is the main driver of these instabilities. The velocity of the electronic flow in preflare plasma is supposed to be much less than electron thermal velocity. Instability development is considered on the background of the small-scale Bernstein wave turbulence which exists in preflare plasma and has an extremely low threshold of excitation. The necessary conditions of the instability rise and development as well as the boundary values of the main characteristics of plasma and wave perturbations are obtained.

Keywords: Bernshtein's turbulence, chromosphere, Sun
References: 

1.A. F. Aleksandrov, L. S. Bogdankevich, and A. A. Rukhadze, Plasma Hydrodynamics Foundations (Vysshaya shkola, Moscow, 1989) [in Russian].

2.A. T. Altyntsev, V. G. Banin, G. V. Kuklin, and V. M. Tomozov, Solar Bursts (Nauka, Moscow, 1982) [in Russian].

3.G. Grim, Broadening of Spectral Lines in Plasma (Mir, Moscow, 1978) [in Russian].

4.V. V. Zaitsev, A. P. Stepanov, and Yu. T. Tsap, “Some problems of solar and star flare physics,” Kinematika Fiz. Nebesnykh Tel 10(6), 3–31 (1994).

5.A. N. Krishtal’, S. V. Gerasimenko, and A. D. Voitsekhovskaya, “To the question of possibility of appearance of preflare current sheathes in the chromosphere of an active solar region,” Kosm. Nauka Tekhnol. 18(3), 52–60 (2012).

6.A. N. Krishtal’, S. V. Gerasimenko, A. D. Voitsekhovskaya, and A. A. Solov’ev, “To the question of a possibility of development of Langmuir turbulence development during the early stage of a flare process,” Kosm. Nauka Tekhnol. 15(5), 59–67 (2009).

7.V. E. Reznikova, V. F. Mel’nikov, S. P. Gorbikov, and K. Shibasaki, “Dynamics of radio brightness distribution along a flaring loop,” in Abstracts of the Conf. “Plasma Physics in the Solar System”, Moscow, SPI RAS, February 5–8, 2008 (SRI RAS, Moscow, 2008), p. 17 [in Russian].

8.B. V. Somov, V. S. Titov, and A. I. Vernetta, “Magnetic reconnection in solar flares,” in Science and Engineering Results Summary, Available from VINITI. Astronomiya 34, 136–237 (1987) [in Russian].

9.Yu. E. Charikov, “Preflare stage of energy accumulation: New observations and possible mechanisms,” in Abstracts of the 11th Pulkovo Intern. Conf. on Solar Physics, MAO RAS, Pulkovo, St. Petersburg, July 2–7, 2007 (St. Petersburg, 2007), pp. 138–139 [in Russian].

10.F. F. Chen, Introduction to Plasma Physics and Controlled Fusion (Plenum, New York, 1984).
https://doi.org/10.1007/978-1-4757-5595-4

11.O. A. Sheiner and V. M. Fridman, “Microwave radiation structure in view of the plasma diagnostics in the solar atmosphere,” in Abstracts of the Conf. “Plasma Physics in the Solar System”, Moscow, SPI RAS, February 5–8, 2008 (SRI RAS, Moscow, 2008), p. 10 [in Russian].

12.M. I. Aschwanden, “An evaluation of coronal heating models for active regions based on Yohkoh, SOHO and TRACE observations,” Astrophys. J. 560, 1035–1043 (2001).
https://doi.org/10.1086/323064

13.J. M. Fontenla, E. H. Avrett, and R. Loeser, “Energy balance in solar transition region. III. Helium emission in hydrostatic, constant-abundance models with diffusion,” Astrophys. J. 406(1), 327–336 (1993).

14.P. Foukal and S. Hinata, “Electric fields in the solar atmosphere: A review,” Solar Phys. 132(2), 307–334 (1991).
https://doi.org/10.1007/BF00152291

15.A. A. Galeev, D. Lominadze, A. Pataria, et al., “Anomalous resistance of plasma due to the instability of the cyclotron harmonics,” Zh. Eksp. Teor. Fiz., 417–420 (1972).

16.A. A. Galeev and R. Z. Sagdeev, “Nonlinear plasma theory,” Probl. Plasma Theory 7, 3–48 (1973).

17.A. A. Galeev and R. Z. Sagdeev, “Current instabilities and anomalous resistance of plasma,” in Handbook of Plasma Physics. Basic Plasma Physics, Ed. by A. A. Galeev and R. N. Sudan (Amsterdam, 1984), Vol. 2, pp. 272–303.

18.J. Heyvaerts, E. R. Priest, and D. M. Rust, “Models of solar flares,” Astrophys. J. 216, 213–221 (1977).
https://doi.org/10.1086/155453

19.A. N. Kryshtal, “Bernstein wave instability in a collisional plasma with a quasistatic electric field,” J. Plas. Phys. 60(3), 469–484 (1998).
https://doi.org/10.1017/S0022377898007004

20.A. N. Kryshtal, S. V. Gerasimenko, and A. D. Voitsekhovska, ““Oblique” Bernstein modes in solar preflare plasma: Generation of second harmonics,” Adv. Space Res. 49, 791–796 (2012).
https://doi.org/10.1016/j.asr.2011.11.024

21.A. N. Kryshtal and V. P. Kucherenko, “A possible excitation mechanism for a longitudinal wave instability in a plasma by a quasi-static electric field,” J. Plasma. Phys 53(2), 169–183 (1995).
https://doi.org/10.1017/S0022377800018109

22.A. N. Kryshtal and V. P. Kucherenko, “Ion-acoustic instability caused by large-scale electric field in solar active regions,” Solar Phys. 165(1), 139–153 (1996).
https://doi.org/10.1007/BF00149094

23.M. E. Machado, E. H. Evrett, J. E. Vernazza, and R. W. Noyes, “Semiempirical models of chromospheric flare regions,” Astrophys. J. 242(1), 336–351 (1980).
https://doi.org/10.1086/158467

24.V. F. Melnikov, K. Shibasaki, and V. E. Reznikova, “Loop-top nonthermal microwave source in extended solar flaring loops,” Astrophys. J. 580, L185–L188 (2002).
https://doi.org/10.1086/345587

25.I. A. Miller, P. I. Cargil, A. G. Emslie, et al., “Critical issues for understanding particle acceleration in impulsive solar flares,” J. Geophys. Res. 102(A7), 14631–14659 (1997).
https://doi.org/10.1029/97JA00976

26.D. Pines and J. R. Schrieffer, “Collective behavior in solid-state plasmas,” Phys. Rev. 124(5), 1387–1400 (1961).
https://doi.org/10.1103/PhysRev.124.1387

27.S. K. Solanki, “Small-scale solar magnetic fields: An overview,” Space Sci. Revs. 63, 1–183 (1993).
https://doi.org/10.1007/BF00749277

28.J. E. Vernazza, E. H. Avrett, and R. Loeser, “Structure of the solar chromosphere. III. Models of the EUV brightness components of the quiet-sun,” Astrophys. J., Suppl. Ser. 45(1), 635–725 (1981).
https://doi.org/10.1086/190731