Abstract
The time evolution of Van Kampen waves is analyzed by solving the kinetic equation for the plasma particle distribution function. The damping law for Van Kampen waves, ∝Bexp(−C(Ωt)3), obtained earlier from qualitative considerations, is confirmed. The values of the constants B and C are found, and comparison with the previous analysis is made.
This is a preview of subscription content, log in via an institution to check access.
References
N. G. Van Campen, Physica 21, 949 (1955).
L. D. Landau, Zh. Eksp. Teor. Fiz. 16, 574 (1946).
S. P. Auerbach, Phys. Fluids 20, 1836 (1977).
A. V. Timofeev, Resonance Phenomena in Plasma Oscillations (Fizmatlit, Moscow, 2000) [in Russian].
V. I. Karpman, Sov. Phys. JETP 24, 603 (1966).
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Ed. by M. Abramowitz and I. A. Stegun (Dover, New York, 1965).
J. Zheng and H. Qin, Phys. Plasmas 20, 092114 (2013).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.V. Timofeev, 2017, published in Fizika Plazmy, 2017, Vol. 43, No. 5, pp. 491–494.
Rights and permissions
About this article
Cite this article
Timofeev, A.V. Effect of collisions on Van Kampen waves. Plasma Phys. Rep. 43, 594–597 (2017). https://doi.org/10.1134/S1063780X17050099
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063780X17050099