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

• Authors: Grzegorz Galant
• Languages of publication: EN

Abstracts

EN

In 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.

Keywords

EN

plasma physics   kinetic theory   electrostatic waves and oscillations   waves instabilities   wave-particle interaction  

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 11
• Pages: 1598-1604

Dates

published

1 - 11 - 2013

online

10 - 12 - 2013

References

• [1] D. Anderson, H. Hamnen, M. Lisak, Thermonuclear Tokamak Plasmas in the Presence of Fusion Alpha Particles, (Chalmers University of Technology, Gothenburg, 1988)
• [2] ITER Physics Basis Chapter 5, Nuclear Fusion, 39, 2471 (1999) [WoS]
• [3] H. L. Berk, B. N. Breizman, M. S. Pekker, Phys. Rev. Lett. 76, 1256 (1996) http://dx.doi.org/10.1103/PhysRevLett.76.1256[Crossref]
• [4] H. L. Berk, B. N. Breizman, M. S. Pekker, Plasma Phys. Rep. 23, 778 (1997)
• [5] B. N. Breizman, H. L. Berk, M. S. Pekker, F. Porcelli, G. V. Stupakov, K. L. Wong, Phys. Plasmas 4, 1559 (1997) http://dx.doi.org/10.1063/1.872286[Crossref]
• [6] M. Lilley, B. N. Breizman, S. E. Sharapov, Phys. Rev. Lett. 102, 195003 (2009) http://dx.doi.org/10.1103/PhysRevLett.102.195003[Crossref]
• [7] A. Fasoli, B. N. Breizman, D. Borba, R. F. Heeter, M. S. Pekker, S. E. Sharapov, Phys. Rev. Lett. 81, 5564 (1998) http://dx.doi.org/10.1103/PhysRevLett.81.5564[Crossref]
• [8] R. F. Heeter, A. F. Fasoli, S. E. Sharapov, Phys. Rev. Lett. 85, 3177 (2000) http://dx.doi.org/10.1103/PhysRevLett.85.3177[Crossref]
• [9] S. D. Pinches et al., Plasma Phys. Controlled Fusion 46, B187 (2004) http://dx.doi.org/10.1088/0741-3335/46/12B/017[Crossref]
• [10] R. G. L. Vann, R. O. Dendy, M. P. Gryaznevich, Phys. Plasmas 12, 032501 (2005) http://dx.doi.org/10.1063/1.1851991[Crossref]
• [11] M. P. Gryaznevich, S. E. Sharapov, Nucl. Fusion 46, S942 (2006) http://dx.doi.org/10.1088/0029-5515/46/10/S11[Crossref]
• [12] J. Zalesny et al., Phys. Plasmas 18, 062109 (2011) http://dx.doi.org/10.1063/1.3601136[Crossref]
• [13] J. Zalesny, G. Galant, M. Lisak, P. Berczynski, S. Berczynski, Phys. Scr. 84, 065504 (2011) http://dx.doi.org/10.1088/0031-8949/84/06/065504[Crossref]

Identifiers

DOI

10.2478/s11534-013-0279-0