Generalized model for the nonlinear dynamics of plasma waves driven unstable by energetic ions near the stability threshold

Open Physics - Tập 11 Số 11 - 2013
Grzegorz Galant1
1Institute of Physics, West Pomeranian University of Technology, Piastów 48, 70-311, Szczecin, Poland

Tóm tắt

AbstractIn this paper, an attempt to develop the original single mode theory describing the nonlinear dynamics of a linearly unstable plasma wave, excited by the resonant interaction with energetic ions near the stability threshold to the case of n interacting plasma modes has been made. The effects of an energetic ion source and classical collisional processes represented by the Krook, diffusion and dynamical friction (drag) collision operators are included in the model. For numerical purposes, the problem has been reduced to ten nonlinearly coupled integro-differential equations. In comparison to the previous papers, the system revealed similar (the steady-state, oscillation, and blow-up solutions), as well as quite new types of the amplitudes behaviour, i.e. different levels of competition between the modes.

Từ khóa


Tài liệu tham khảo

D. Anderson, H. Hamnen, M. Lisak, Thermonuclear Tokamak Plasmas in the Presence of Fusion Alpha Particles, (Chalmers University of Technology, Gothenburg, 1988)

ITER Physics Basis Chapter 5, Nuclear Fusion, 39, 2471 (1999)

H. L. Berk, B. N. Breizman, M. S. Pekker, Phys. Rev. Lett. 76, 1256 (1996)

H. L. Berk, B. N. Breizman, M. S. Pekker, Plasma Phys. Rep. 23, 778 (1997)

B. N. Breizman, H. L. Berk, M. S. Pekker, F. Porcelli, G. V. Stupakov, K. L. Wong, Phys. Plasmas 4, 1559 (1997)

M. Lilley, B. N. Breizman, S. E. Sharapov, Phys. Rev. Lett. 102, 195003 (2009)

A. Fasoli, B. N. Breizman, D. Borba, R. F. Heeter, M. S. Pekker, S. E. Sharapov, Phys. Rev. Lett. 81, 5564 (1998)

R. F. Heeter, A. F. Fasoli, S. E. Sharapov, Phys. Rev. Lett. 85, 3177 (2000)

S. D. Pinches et al., Plasma Phys. Controlled Fusion 46, B187 (2004)

R. G. L. Vann, R. O. Dendy, M. P. Gryaznevich, Phys. Plasmas 12, 032501 (2005)

M. P. Gryaznevich, S. E. Sharapov, Nucl. Fusion 46, S942 (2006)

J. Zalesny et al., Phys. Plasmas 18, 062109 (2011)

J. Zalesny, G. Galant, M. Lisak, P. Berczynski, S. Berczynski, Phys. Scr. 84, 065504 (2011)