Instability saturation by the oscillating two-stream instability in a weakly relativistic plasma

Journal Article · Wed Apr 15 04:00:00 EDT 2015 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4917333· OSTI ID:22408307

Pal, Barnali; Poria, Swarup ^[1]; Sahu, Biswajit ^[2]

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1. Department of Applied Mathematics, University of Calcutta, 92, Acharya Prafulla Chandra Road, Kolkata 700 009 (India)
2. Department of Mathematics, West Bengal State University, Barasat, Kolkata 700126 (India)

The two-stream instability has wide range of astrophysical applications starting from gamma-ray bursts and pulsar glitches to cosmology. We consider one dimensional weakly relativistic Zakharov equations and describe nonlinear saturation of the oscillating two-stream instability using a three dimensional dynamical system resulting form a truncation of the nonlinear Schrodinger equation to three modes. The equilibrium points of the model are determined and their stability natures are discussed. Using the tools of nonlinear dynamics such as the bifurcation diagram, Poincaré maps, and Lyapunav exponents, existence of periodic, quasi-periodic, and chaotic solutions are established in the dynamical system. Interestingly, we observe the multistable behavior in this plasma model. The system has multiple attractors depending on the initial conditions. We also notice that the relativistic parameter plays the role of control parameter in the model. The theoretical results presented in this paper may be helpful for better understanding of space and astrophysical plasmas.

• OSTI ID: 22408307
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 4 Vol. 22; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
79 ASTRONOMY AND ASTROPHYSICS
ASTROPHYSICS
ATTRACTORS
BIFURCATION
COSMIC GAMMA BURSTS
COSMOLOGY
LYAPUNOV METHOD
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
PULSARS
RELATIVISTIC PLASMA
RELATIVISTIC RANGE
SCHROEDINGER EQUATION
THREE-DIMENSIONAL CALCULATIONS
TWO-STREAM INSTABILITY