No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
On the correct implementation of Fermi–Dirac statistics and electron trapping in nonlinear electrostatic plane wave propagation in collisionless plasmas
B. Eliasson and P. K. Shukla, “ Production of non-isothermal electrons and Langmuir waves because of colliding ion holes and trapping of plasmons in an ion hole,” Phys. Rev. Lett. 92, 095006 (2004).
G. Petraconi and H. S. Maciel, “ Formation of electrostatic double-layers and electron holes in a low pressure mercury plasma column,” J. Phys. D: Appl. Phys. 36, 2798–2805 (2003).
J. F. Drake, M. Swisdak, C. Cattell, M. A. Shay, B. N. Rogers, and A. Zeiler, “ Formation of electron holes and particle energization during magnetic reconnection,” Science 299, 873–877 (2003).
C. Cattell, J. Domebeck, J. Wygant, J. F. Drake, M. Swisdak, M. L. Goldstein, W. Keith, A. Fazakerley, M. Andr, E. Lucek, and A. Balogh, “ Cluster observations of electron holes in association with magnetotail reconnection and comparison to simulations,” J. Geophys. Res. 110, A01211, doi:10.1029/2004JA010519 (2005).
J. P. McFadden, C. W. Carlson, R. E. Ergun, F. S. Mozer, L. Muschietti, I. Roth, and E. Moebius, “ FAST observations of ion solitary waves,” J. Geophys. Res. 108, 8018, doi:10.1029/2002JA009485 (2003).
C. S. Ng, A. Bhattacharjee, and F. Skiff, “ Weakly collisional Landau damping and three-dimensional Bernstein-Greene-Kruskal modes: New results on old problems,” Phys. Plasmas 13, 055903 (2006).
J. Korn and H. Schamel, “ Electron holes and their role in the dynamics of current-carrying weakly collisional plasmas. Part 1. Immobile ions,” J. Plasma Phys. 56, 307 (1996).
H. Schamel, “ Particle trapping: A key requisite of structure formation and stability of Vlasov-Poisson plasmas,” Phys. Plasmas 22, 042301 (2015).
L. D. Landau and E. M. Lifshitz, Statistical Physics, Part 1 ( Butterworth-Heinemann, Oxford, 1980).
L. D. Landau and E. M. Lifshitz, Physical Kinetics ( Pergamon, UK, 1981).
H. Schamel, “ Cnoidal electron hole propagation: Trapping, the forgotten nonlinearity in plasma and fluid dynamics,” Phys. Plasmas 19, 020501 (2012).
, “ How to model quantum plasma
,” Fields Inst. Commun.
); e-print arXiv:quant-ph/0505004
J.-M. Grießmeier, A. Luque, and H. Schamel, “ Theory of negative energy holes in current carrying plasmas,” Phys. Plasmas 9, 3816 (2002).
A. Luque, J.-M. Grießmeier, and H. Schamel, “ A systematic search for new kinetic structures in collisionless current-carrying plasmas,” Phys. Plasmas 9, 4841 (2002).
Article metrics loading...
Quantum statistics and electron trapping have a decisive influence on the propagation characteristics of coherent stationary electrostatic waves. The description of these strictly nonlinear structures, which are of electron hole type and violate linear Vlasov theory due to the particle trapping at any excitation amplitude, is obtained by a correct reduction of the three-dimensional Fermi-Dirac distribution function to one dimension and by a proper incorporation of trapping. For small but finite amplitudes, the holes become of cnoidal wave type and the electron density is shown to be described by a rather than a expansion, where is the electrostatic potential. The general coefficients are presented for a degenerate plasma as well as the quantum statistical analogue to these steady state coherent structures, including the shape of and the nonlinear
dispersion relation, which describes their phase velocity.
Full text loading...
Most read this month