Causality and Collisionless Damping in Plasma
Affiliation(s)
Department of Physics, Hanyang University, Seoul, Korea. Plasma Technology Research Center, National Fusion Research Institute, Gunsan, Korea.
Department of Physics, Hanyang University, Seoul, Korea. Plasma Technology Research Center, National Fusion Research Institute, Gunsan, Korea.
ABSTRACT
We derive the collisionless Landau damping in a plasma by satisfying the causal requirement that the susceptibility function of the plasma for time t < 0 should be nil. The causality condition should be satisfied by the susceptibility function of a plasma no matter what equations we employ to describe the plasma. Thus we conclude that the fundamental reason of the collisionless damping can be traced to the causality. As an example, we derive the collisionless damping of ion acoustic wave in a plasma by employing fluid equations.
Cite this paper
H. Lee and M. Song, "Causality and Collisionless Damping in Plasma," Journal of Modern Physics, Vol. 4 No. 4, 2013, pp. 555-558. doi: 10.4236/jmp.2013.44077.
H. Lee and M. Song, "Causality and Collisionless Damping in Plasma," Journal of Modern Physics, Vol. 4 No. 4, 2013, pp. 555-558. doi: 10.4236/jmp.2013.44077.
References
[1] L. Landau, “On the Vibrations of the Electronic Plasma,” Journal of Physics, Vol. 10, No. 1, 1946, pp. 25-34. [2] Y. K. Lim and H. J. Lee, “Causality, Kramers-Kronig Relations, and Landau Damping,” The Open Plasma Physics Journal, Vol. 5, No. 1, 2012, pp. 36-40. [3] N. G. Van Kampen and B. U. Felderhof, “Theoretical Methods in Plasma Physics,” John Wiley, New York, 1967. [4] J. D. Jackson, “Classical Electrodynamics,” Wiley, New York, 1974. [5] G. Arfken, “Mathematical Methods for Physicists,” Academic Press, Orlando, 1985, p. 415. [6] D. Bohm and E. P. Gross, “Theory of Plasma Oscillations. A. Origin of Medium-Like Behavior,” Physical Review, Vol. 75, No. 12, 1949, pp. 1851-1864.
[1] L. Landau, “On the Vibrations of the Electronic Plasma,” Journal of Physics, Vol. 10, No. 1, 1946, pp. 25-34. [2] Y. K. Lim and H. J. Lee, “Causality, Kramers-Kronig Relations, and Landau Damping,” The Open Plasma Physics Journal, Vol. 5, No. 1, 2012, pp. 36-40. [3] N. G. Van Kampen and B. U. Felderhof, “Theoretical Methods in Plasma Physics,” John Wiley, New York, 1967. [4] J. D. Jackson, “Classical Electrodynamics,” Wiley, New York, 1974. [5] G. Arfken, “Mathematical Methods for Physicists,” Academic Press, Orlando, 1985, p. 415. [6] D. Bohm and E. P. Gross, “Theory of Plasma Oscillations. A. Origin of Medium-Like Behavior,” Physical Review, Vol. 75, No. 12, 1949, pp. 1851-1864.