Mode limitation and mode completion in collisionless plasmas

1998 ◽  
Vol 60 (1) ◽  
pp. 193-202 ◽  
Author(s):  
M. KNELLER ◽  
R. SCHLICKEISER

The relativistically correct solution of the dispersion relation of linear plasma waves in an isotropic unmagnetized equilibrium electron plasma leads to two new effects unknown from the nonrelativistic dispersion theory. First, the number of damped subluminal modes is limited to a few (mode-limitation effect); secondly, for relativistic plasma temperatures the few individual modes complement each other in the sense that the dispersion relations ωR=ωR(k) continuously match each other (mode-completion effect). The second effect does not occur at nonrelativistic temperatures.

2003 ◽  
Vol 10 (5) ◽  
pp. 1514-1517 ◽  
Author(s):  
Moma S. Jovanović ◽  
Dejan R. Dimitrijević

1982 ◽  
Vol 21 (Part 1, No. 2) ◽  
pp. 410-411
Author(s):  
Shunjiro Ikezawa ◽  
Masataka Tsuzuki ◽  
Takashi Aoki ◽  
Shigehiko Nonaka ◽  
Yoshiharu Nakamura

1973 ◽  
Vol 1 (3) ◽  
pp. 100-106 ◽  
Author(s):  
Yoshiharu Nakamura ◽  
Masaharu Nakamura ◽  
Tomizo Itoh

2004 ◽  
Vol 78 (7-8) ◽  
pp. 923-926
Author(s):  
A.S. Sandhu ◽  
S. Narayanan ◽  
G.R. Kumar
Keyword(s):  

1971 ◽  
Vol 36 (6) ◽  
pp. 473-474 ◽  
Author(s):  
R.N. Franklin ◽  
G.J. Smith ◽  
S.M. Hamberger ◽  
G. Lampis

1972 ◽  
Vol 33 (5) ◽  
pp. 1502-1502 ◽  
Author(s):  
Masataka Ito ◽  
Shoji Kojima
Keyword(s):  

2013 ◽  
Vol 79 (5) ◽  
pp. 629-633
Author(s):  
B. FAROKHI

AbstractThe linear dust lattice waves propagating in a two-dimensional honeycomb configuration is investigated. The interaction between particles is considered up to distance 2a, i.e. the third-neighbor interactions. Longitudinal and transverse (in-plane) dispersion relations are derived for waves in arbitrary directions. The study of dispersion relations with more neighbor interactions shows that in some cases the results change physically. Also, the dispersion relation in the different direction displays anisotropy of the group velocity in the lattice. The results are compared with dispersion relations of the waves in the hexagonal lattice.


1979 ◽  
Vol 22 (3) ◽  
pp. 571-572
Author(s):  
E. Infeld ◽  
G. Rowlands

In this note we investigate the stability of large-amplitude longitudinal relativistic plasma waves. We find that they are secularly stable, that is, small perturbations grow in time proportional to time but not exponentially with time. Similar results have recently been obtained for transverse waves by Romeiras (1978)


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