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

Galant, Grzegorz

doi:10.2478/s11534-013-0279-0

Journal

Open Physics

2013 | 11 | 11 | 1598-1604

Article title

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

Authors

Grzegorz Galant

Content

Full texts:

http://www.degruyter.com/view/j/phys.2013.11.issue-11/s11534-013-0279-0/s11534-013-0279-0.pdf [remote]

Title variants

Languages of publication

Abstracts

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

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

Publisher

De Gruyter Open

Journal

Open Physics

Year

2013

Volume

Issue

Pages

1598-1604

Physical description

Dates

published

1 - 11 - 2013

online

10 - 12 - 2013

Contributors

author

Grzegorz Galant

ggalant@zut.edu.pl

Institute of Physics, West Pomeranian University of Technology, Piastów 48, 70-311, Szczecin, Poland

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]

Document Type

Publication order reference

Identifiers

DOI

10.2478/s11534-013-0279-0

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-013-0279-0