scholarly journals NONLINEAR THEORY OF LOW FREQUENCY INSTABILITIES IN A HOT ELECTRON PLASMA

1990 ◽  
Vol 39 (8) ◽  
pp. 61
Author(s):  
HUANG CHAO-SONG ◽  
WU YING
Author(s):  
Huang Chaosong ◽  
Ren Zhaoxing ◽  
Qiu Lijian

2009 ◽  
Vol 76 (1) ◽  
pp. 7-17 ◽  
Author(s):  
BENGT ELIASSON ◽  
PADMA KANT SHUKLA

AbstractWe present a derivation of the dispersion relation for electrostatic oscillations in a zero-temperature quantum plasma, in which degenerate electrons are governed by the Wigner equation, while non-degenerate ions follow the classical fluid equations. The Poisson equation determines the electrostatic wave potential. We consider parameters ranging from semiconductor plasmas to metallic plasmas and electron densities of compressed matter such as in laser compression schemes and dense astrophysical objects. Owing to the wave diffraction caused by overlapping electron wave function because of the Heisenberg uncertainty principle in dense plasmas, we have the possibility of Landau damping of the high-frequency electron plasma oscillations at large enough wavenumbers. The exact dispersion relations for the electron plasma oscillations are solved numerically and compared with the ones obtained by using approximate formulas for the electron susceptibility in the high- and low-frequency cases.


1979 ◽  
Vol 27 (3) ◽  
pp. 249-254
Author(s):  
Ya.N. Istomin ◽  
O.A. Pokhotelov

1987 ◽  
Vol 63 (9) ◽  
pp. 773-778 ◽  
Author(s):  
J.L. Carrillo ◽  
G. Luna-Acosta ◽  
J. Arriaga ◽  
M.A. Rodríguez

1982 ◽  
Vol 27 (3) ◽  
pp. 507-514
Author(s):  
Bhimsen K. Shivamoggi

For slowly varying wave trains in a linear system, it is known that a quantity proportional to the square of the amplitude propagates with the group velocity. It is shown here, by considering a specific problem of longitudinal waves in a hot electron-plasma and using an asymptotic analysis, that this result continues to be valid even when weak nonlinearities are introduced into the system provided they produce slowly varying wave trains. The method of analysis fails, however, for weakly nonlinear ion-acoustic waves.


1966 ◽  
Vol 9 (4) ◽  
pp. 820 ◽  
Author(s):  
Nicholas A. Krall
Keyword(s):  

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