Abstract
It has been shown that low-frequency vortex convection, which is self-consistently developed in a magnetized plasma, may lead to nondiffusive transport processes similar to those observed in various systems of the plasma magnetic confinement. To theoretically analyze such a convection, an approach is proposed on the basis of the direct computer simulation of the quasi-two-dimensional dynamics of a weakly dissipative plasma with the use of adiabatically reduced hydrodynamic-type equations. The derived equations ensure the description of both relatively fast nonlinear convective flows and slower resulting transport processes and allow the simulation of the plasma evolution at sufficiently long times comparable with the plasma lifetime. The simulation shows that the development of the convection leads to the formation of nonlinear large-scale stochastic vortex structures, which exhibit broad power-law frequency and wavenumber spectra, as well as the non-Gaussian statistics of fluctuations, and corresponds to the notion of structure turbulence. The resulting transport processes are nonlocal and nondiffusive and have a number of characteristic properties similar to those observed in real experiments. The self-consistency of the pressure and density profiles in the plasma, L-H transitions, impurity pinch, etc., are among these properties.
Similar content being viewed by others
References
B. B. Kadomtsev and O. P. Pogutse, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Atomizdat, Moscow, 1967), No. 5, p. 209.
W. Horton, in Basic Plasma Physics, Ed. by A. A. Galeev and R. N. Sudan (Énergoatomizdat, Moscow, 1984; North-Holland, Amsterdam, 1984), Vol. 2, p. 362.
J. W. Connor, P. Buratti, J. D. Cordey, et al., Plasma Phys. Controlled Fusion 41, 693 (1999).
M. V. Ossipenko and T-10 Team, in Proceedings of 19th IAEA Fusion Energy Conference, Lyon, 2002 (IAEA, Vienna, 2003), Rep. OV/5-2.
G. M. Batanov, L. V. Kolik, A. E. Petrov, et al., Fiz. Plazmy 29, 395 (2003) [Plasma Phys. Rep. 29, 363 (2003)].
G. M. Batanov, V. E. Bening, V. Yu. Korolev, et al., Pis’ma Zh. Éksp. Teor. Fiz. 78, 974 (2003) [JETP Lett. 78, 502 (2003)].
T. Cho, M. Yoshida, H. Higaki, et al., J. Plasma Fusion Res. 80, 81 (2004).
T. Cho, M. Yoshida, J. Kohagura, et al., Phys. Rev. Lett. 94, 085002 (2005).
V. V. Abrakov, A. E. Petrov, K. A. Sarksyan, and N. N. Skvortsova, Fiz. Plazmy 20, 1069 (1994) [Plasma Phys. Rep. 20, 959 (1994)].
G. Y. Antar, S. I. Krasheninnikov, P. Devynck, et al., Phys. Rev. Lett. 87, 065001 (2001).
N. Ohno, D. Nishijima, S. Takamura, et al., Nucl. Fusion 41, 1055 (2001).
J. A. Boedo, D. L. Rudakov, R. Moyer, et al., Phys. Plasmas 8, 4826 (2001).
S. D. Danilov and D. Gurarie, Usp. Fiz. Nauk 170, 921 (2000) [Phys. Usp. 43, 863 (2000)].
B. B. Kadomtsev and O. P. Pogutse, Zh. Éksp. Teor. Fiz. 65, 575 (1973) [Sov. Phys. JETP 38, 283 (1973)].
R. White, D. Monticello, M. N. Rosenbluth, et al., in Proceedings of 5th International Conference on Plasma Physics and Controlled Nuclear Fusion Research, Tokyo, 1974 (IAEA, Vienna, 1975), Vol. 1, p. 495.
H. R. Strauss, Phys. Fluids 19, 134 (1976).
H. R. Strauss, Phys. Fluids 20, 1354 (1977).
V. P. Pastukhov, Pis’ma Zh. Éksp. Teor. Fiz. 67, 892 (1998) [JETP Lett. 67, 940 (1998)].
V. P. Pastukhov, Fiz. Plazmy 26, 566 (2000) [Plasma Phys. Rep. 26, 529 (2000)].
V. P. Pastukhov and N. V. Chudin, Fiz. Plazmy 27, 963 (2001) [Plasma Phys. Rep. 27, 907 (2001)].
V. P. Pastukhov and N. V. Chudin, in Proceedings of 19th IAEA Fusion Energy Conference, Lyon, 2002 (IAEA, Vienna, 2003), Rep. TH/2-5.
V. P. Pastukhov, Fiz. Plazmy 31, 628 (2005) [Plasma Phys. Rep. 31, 577 (2005)].
M. I. Rabinovich, Usp. Fiz. Nauk 125, 123 (1978) [Sov. Phys. Usp. 21, 443 (1978)].
K.-D. Zastrow, J. M. Adams, Yu. Baranov, et al., Plasma Phys. Controlled Fusion 49, B255 (2004).
F. Wagner, G. Becker, K. Behringer, et al., Phys. Rev. Lett. 49, 1408 (1982).
Author information
Authors and Affiliations
Additional information
__________
Translated from Pis’ma v Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, Vol. 82, No. 6, 2005, pp. 395–406.
Original Russian Text Copyright © 2005 by Pastukhov, Chudin.
A member of the editorial board of the journal since 1988.