PL EN


Preferences help
enabled [disable] Abstract
Number of results
Journal
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
Content
Title variants
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.
Publisher
Journal
Year
Volume
11
Issue
11
Pages
1598-1604
Physical description
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]
Document Type
Publication order reference
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-013-0279-0
Identifiers
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.