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Chin. Phys. B, 2013, Vol. 22(11): 115201    DOI: 10.1088/1674-1056/22/11/115201

Nonlinear Landau damping of high frequency waves in non-Maxwellian plasmas

M. N. S. Qureshia b, Sumbul Sehara, J. K. Shib, H. A. Shaha
a Department of Physics, GC University, Lahore;
b Center for Space Science and Applied Research, Chinese Academy of Sciences, Beijing 100190, China
Abstract  Space plasmas often possess non-Maxwellian distribution functions which have a significant effect on the plasma waves. When a laser or electron beam passes through a dense plasma, hot low density electron populations can be generated to alter the wave damping/growth rate. In this paper, we present theoretical analysis of the nonlinear Landau damping for Langmuir waves in a plasma where two electron populations are found. The results show a marked difference between the Maxwellian and non-Maxwellian instantaneous damping rates when we employ a non-Maxwellian distribution function called the generalized (r, q) distribution function, which is the generalized form of the kappa and Maxwellian distribution functions. In the limiting case of r = 0 and q→∞, it reduces to the classical Maxwellian distribution function, and when r = 0 and qk +1, it reduces to the kappa distribution function.
Keywords:  nonlinear Landau damping      non-Maxwellian distribution function      nonlinear Langmuir waves      wave–particle interaction  
Received:  11 March 2013      Revised:  28 May 2013      Accepted manuscript online: 
PACS:  52.25.Dg (Plasma kinetic equations)  
  52.27.Cm (Multicomponent and negative-ion plasmas)  
  52.35.Fp (Electrostatic waves and oscillations (e.g., ion-acoustic waves))  
  52.35.Mw (Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))  
Fund: Project supported by the Pakistan Science Foundation Project No. PSF/Res/P-GCU/Phys. (143), the National Natural Science Foundation of China (Grant Nos. 41074114 and 41274146), and the Specialized Research Fund for State Key Laboratories of China.
Corresponding Authors:  M. N. S. Qureshi     E-mail:

Cite this article: 

M. N. S. Qureshi, Sumbul Sehar, J. K. Shi, H. A. Shah Nonlinear Landau damping of high frequency waves in non-Maxwellian plasmas 2013 Chin. Phys. B 22 115201

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[1] Effect on Landau damping rates for non-Maxwellian distribution function consisting of two electron populations
M. N. S. Qureshi, S. Sehar, H. A. Shah, J. B. Cao. Chin. Phys. B, 2013, 22(3): 035201.
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