Modulation instability of low-frequency electrostatic ion waves in magnetized electron-positron-ion plasma

Journal Article · Mon Sep 15 04:00:00 EDT 2008 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.2977768· OSTI ID:21269037

Jehan, Nusrat ^[1]; Salahuddin, M ^[2]; Saleem, H ^[3]; Mirza, Arshad M ^[1]

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1. Theoretical Plasma Physics Group, Department of Physics, Quaid-i-Azam University, Islamabad 45320 (Pakistan)
2. Pakistan Atomic Energy Commission, P. O. Box 1114, Islamabad 44000 (Pakistan)
3. PINSTECH (NPD), P. O. Nilore, Islamabad (Pakistan)

The nonlinear amplitude modulation of low-frequency electrostatic ion waves propagating in collisionless magnetized electron-positron-ion plasma are studied. The Krylov-Bogoliubov-Mitropolsky perturbation method is employed to derive the nonlinear Schroedinger equation. Modulation instability of both ion-acoustic and ion-cyclotronlike modes is examined. We found that the ion-acoustic mode, which propagates below the ion-cyclotron frequency, is stable if the strength of the external magnetic field is small. However, as the strength of the magnetic field increases, this mode becomes modulationally unstable for a range of wave numbers and angles of propagation. This range increases as the strength of the magnetic field and/or positron density increases. For the ion-cyclotronlike mode, which propagates above the ion-cyclotron frequency, a number of stability/instability regions appear in the (k{sub c},{theta}) plane even for a very small value of the magnetic field. It is found that, for both modes, critical wave number k{sub c} separating the stability and instability regions, shifts towards higher values as the density of the positron increases.

• OSTI ID: 21269037
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 9 Vol. 15; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
CYCLOTRON FREQUENCY
ELECTRONS
ION WAVES
IONS
MAGNETIC FIELDS
MODULATION
NONLINEAR PROBLEMS
PERTURBATION THEORY
PLASMA
PLASMA INSTABILITY
POSITRONS
SCHROEDINGER EQUATION