Modulational instability of ion-acoustic waves in a plasma with a q-nonextensive electron velocity distribution

被引:106
作者
Bains, A. S. [1 ]
Tribeche, Mouloud [2 ]
Gill, T. S. [1 ]
机构
[1] Guru Nanak Dev Univ, Dept Phys, Amritsar 143005, Punjab, India
[2] Univ Bab Ezzouar, USTHB, Fac Sci Phys, TPL,PPG, El Alia Algiers 16111, Algeria
关键词
ENTROPY; EQUATION; SOLITARY; SYSTEMS; SPACE;
D O I
10.1063/1.3554658
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The modulational instability (MI) of ion-acoustic waves (IAWs) in a two-component plasma is investigated in the context of the nonextensive statistics proposed by Tsallis [J. Stat. Phys. 52, 479 (1988)]. Using the reductive perturbation method, the nonlinear Schrodinger equation (NLSE) which governs the MI of the IAWs is obtained. The presence of the nonextensive electron distribution is shown to influence the MI of the waves. Three different ranges of the nonextensive q-parameter are considered and in each case the MI sets in under different conditions. Furthermore, the effects of the q-parameter on the growth rate of MI are discussed in detail. (C) 2011 American Institute of Physics. [doi:10.1063/1.3554658]
引用
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页数:5
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共 42 条
[1]   Nonextensive thermodynamic relations [J].
Abe, SY ;
Martínez, S ;
Pennini, F ;
Plastino, A .
PHYSICS LETTERS A, 2001, 281 (2-3) :126-130
[2]   Variable charge dust acoustic solitary waves in a dusty plasma with a q-nonextensive electron velocity distribution [J].
Amour, Rabia ;
Tribeche, Mouloud .
PHYSICS OF PLASMAS, 2010, 17 (06)
[3]   Electrostatic solitary structures in dusty plasmas with nonthermal and superthermal electrons [J].
Aoutou, Kamel ;
Tribeche, Mouloud ;
Zerguini, Taha Houssine .
PHYSICS OF PLASMAS, 2008, 15 (01)
[4]   Dust acoustic solitons in plasmas with kappa-distributed electrons and/or ions [J].
Baluku, T. K. ;
Hellberg, M. A. .
PHYSICS OF PLASMAS, 2008, 15 (12)
[5]   Jeans' criterion and nonextensive velocity distribution function in kinetic theory [J].
Du, JL .
PHYSICS LETTERS A, 2004, 320 (5-6) :347-351
[6]   Modulational instability of dust acoustic solitons in multicomponent plasma with kappa-distributed electrons and ions [J].
Gill, T. S. ;
Bains, A. S. ;
Bedi, C. .
PHYSICS OF PLASMAS, 2010, 17 (01)
[7]   Envelope excitations of ion acoustic solitary waves in a plasma with superthermal electrons and positrons [J].
Gill, Tarsem Singh ;
Bedi, Chanchal ;
Bains, Amandeep Singh .
PHYSICA SCRIPTA, 2010, 81 (05)
[8]   Stability criteria for q-expectation values [J].
Hanel, Rudolf ;
Thurner, Stefan .
PHYSICS LETTERS A, 2009, 373 (16) :1415-1420
[9]   Electron-acoustic waves in the laboratory: an experiment revisited [J].
Hellberg, MA ;
Mace, RL ;
Armstrong, RJ ;
Karlstad, G .
JOURNAL OF PLASMA PHYSICS, 2000, 64 (04) :433-443
[10]   FORMATION AND INTERACTION OF ION-ACOUSTIC SOLITONS [J].
IKEZI, H ;
TAYLOR, RJ ;
BAKER, DR .
PHYSICAL REVIEW LETTERS, 1970, 25 (01) :11-+