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

Journal Article · Mon Feb 14 23:00:00 EST 2011 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3554658· OSTI ID:21535146

Bains, A S; Gill, T S ^[1]; Tribeche, Mouloud ^[2]

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1. Department of Physics, Guru Nanak Dev University, Amritsar 143005 (India)
2. Plasma Physics Group (PPG), Theoretical Physics Laboratory (TPL), Faculty of Sciences-Physics, University of Bab-Ezzouar, U.S.T.H.B, B.P. 32, El Alia, Algiers 16111 (Algeria)

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 Schroedinger 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.

• OSTI ID: 21535146
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 2 Vol. 18; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
DIFFERENTIAL EQUATIONS
DISTRIBUTION
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
INSTABILITY
INSTABILITY GROWTH RATES
ION ACOUSTIC WAVES
ION WAVES
LEPTONS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
PLASMA INSTABILITY
PLASMA WAVES
SCHROEDINGER EQUATION
VELOCITY
WAVE EQUATIONS