Abstract
The existing theory of quasi-stationary plasma turbulence presumes that the growth rate of plasma waves is zero. In this paper, it is proposed to determine the spectrum of such waves by using the concept of undamped Vlasov waves. The results concerning the ion-acoustic velocity in the framework of this concept are presented for two models of ion-acoustic turbulence. It is shown that the use of the spectral properties of undamped ion-acoustic waves removes the uncertainty in estimating the time and efficiency of strong turbulent plasma heating.
Similar content being viewed by others
References
A. A. Vlasov, Zh. Eksp. Teor. Fiz. 8, 291 (1938).
A. A. Vlasov, J. Phys. 9, 25 (1945).
A. A. Vlasov, Theory of Vibrational Properties of Electron Gas and Its Applications, Uch. Zapiski MGU, Fizika, Vol. 75, Bk. II, Pt. 1 (1945) [in Russian].
A. A. Vlasov, Theory of Many-Particle Systems (Gostekhizdat, Moscow, 1950) [in Russian].
L. D. Landau, Zh. Eksp. Teor. Fiz. 16, 574 (1946).
A. F. Aleksandrov and A. A. Rukhadze, Plasma Phys. Rep. 23, 442 (1997).
V. L. Ginzburg, Vopr. Istorii Estestvoznaniya Tekh., No. 4, 5 (2000).
A. A. Rukhadze, Events and Persons (Moscow, Nauchtekhlitizdat, 2010) [in Russian].
V. I. Petviashvili, Sov. Phys. Doklady 8, 1218 (1963).
B. B. Kadomtsev, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Atomizdat, Moscow, 1964; Consultants Bureau, New York, 1968), Vol. 4.
V. Yu. Bychenkov and V. P. Silin, Sov. Phys. JETP 55, 1086 (1982).
V. P. Silin and S. A. Uryupin, Sov. Phys. JETP 75, 41 (1992).
V. P. Silin, Plasma Phys. Rep. 37, 461 (2011).
V. P. Silin and P. V. Silin, Bull. Lebedev Phys. Inst. 38, 1 (2011).
V. P. Silin, Ukr. J. Phys. 57, 322 (2012).
V. P. Silin, Plasma Phys. Rep. 38, 761 (2012).
R. Balescu, J. Plasma Phys. 24, 551 (1980).
L. I. Rudakov and L. V. Korablev, Sov. Phys. JETP 23, 145 (1966).
V. P. Silin, Prikl. Fiz., No. 6, 5 (2012).
V. P. Silin, Introduction to the Kinetic Theory of Gases (URSS, Moscow, 2013), Appendix IV [in Russian].
L. M. Kovrizhnykh, Sov. Phys. JETP 24, 1210 (1967).
L. M. Kovrizhnykh, Sov. Phys. JETP 25, 934 (1967).
V. P. Silin and A. A. Rukhadze, Electromagnetic Properties of Plasmas and Plasmalike Media (URSS, Moscow, 2012) [in Russian].
E. K. Zavoiskii, B. A. Demidov, Yu. G. Kalinin, A. G. Plakhov, L. I. Rudakov, V. D. Rusanov, V. A. Skoryupin, G. E. Smolkin, A. V. Titov, S. D. Fanchenko, V. V. Shapkin, and G. V. Sholin, in Proceedings of the 4th International Conference on Plasma Physics and Controlled Nucl. Fusion Research, Madison, 1971 (IAEA, Vienna, 1972), Vol. 2, p. 3–24; E. K. Zavoiskii, Selected Articles: Electron Paramagnetic Resonance and Plasma Physics (Nauka, Moscow, 1990), p. 298.
N. N. Bogolyubov, in Studies in Statistical Mechanics, Ed. by J. de Boer and G. E. Uhlenbeck (Wiley, New York, 1961), Vol. 1, p. 5.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.Yu. Popov, V.P. Silin, 2014, published in Fizika Plazmy, 2014, Vol. 40, No. 4, pp. 368–375.
Rights and permissions
About this article
Cite this article
Popov, V.Y., Silin, V.P. Vlasov modes in the theory of ion-acoustic turbulence. Plasma Phys. Rep. 40, 298–305 (2014). https://doi.org/10.1134/S1063780X14040060
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063780X14040060