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Journal ArticleDOI

Nonlinear dynamics of ion acoustic waves in quantum pair-ion plasmas

TLDR
In this article, the nonlinear properties of the ion acoustic waves (IAWs) in a three-component quantum plasma comprising electrons, and positive and negative ions are investigated analytically and numerically by employing the quantum hydrodynamic (QHD) model.
Abstract
The nonlinear properties of the ion acoustic waves (IAWs) in a three-component quantum plasma comprising electrons, and positive and negative ions are investigated analytically and numerically by employing the quantum hydrodynamic (QHD) model. The Sagdeev pseudopotential technique is applied to obtain the small-amplitude soliton solution. The effects of the quantum parameter , positive to negative ion density ratio and Mach number on the nonlinear structures are investigated. It is found that these factors can significantly modify the properties of the IAWs. The existence of quasi-periodic and chaotic oscillations in the system is established. Switching from quasi-periodic to chaotic is possible with the variation of Mach number or quantum parameter .

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Citations
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Journal ArticleDOI

Solitary Wave with Quantisation of Electron's Orbit in a Magnetised Plasma in the Presence of Heavy Negative Ions

TL;DR: In this paper, the propagation characteristics of solitary wave in a degenerate plasma in the presence of Landau-quantised magnetic field and heavy negative ion are studied with the help of a time-independent analytical scheme of the solution of Zakharov-Kuznetsov equation.
Journal ArticleDOI

Multiperiodic and chaotic wave phenomena of collective ion dynamics under KP-type equation in a magnetised nonextensive plasma

TL;DR: In this paper , a dynamical system for small-amplitude ion-acoustic waves is investigated under KP-type equation in a magnetized electron-ion plasma, where electrons follow q-nonextensive distribution.
Journal ArticleDOI

Average conservative chaos in quantum dusty plasmas

TL;DR: In this article, the authors consider a hydrodynamic model of a quantum dusty plasma and prove mathematically that the resulting ion-acoustic plasma waves present the property of being conservative on average.
References
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Book

Chaos: An Introduction to Dynamical Systems

TL;DR: One-dimensional maps, two-dimensional map, fractals, and chaotic attraction attractors have been studied in this article for state reconstruction from data, including the state of Washington.
Journal ArticleDOI

A Collective Description of-Electron Interactions: III. Coulomb Interactions in a Degenerate Electron Gas

TL;DR: In this article, the behavior of the electrons in a dense electron gas is analyzed quantum-mechanically by a series of canonical transformations, and the results are related to the classical density fluctuation approach and Tomonaga's one-dimensional treatment of the degenerate Fermi gas.
Journal ArticleDOI

Self-consistent fluid model for a quantum electron gas

TL;DR: In this article, the Wigner-Poisson (or Hartree) system can be reduced to an effective Schroedinger Poisson (SGP) system, in which the SGP equation contains a new nonlinearity for a zero-temperature one-dimensional electron gas.
Journal ArticleDOI

X-ray Thomson scattering in high energy density plasmas

TL;DR: In this article, the authors developed accurate x-ray scattering techniques to measure the physical properties of dense plasmas for applications in high energy density physics, including inertial confinement fusion, material science, or laboratory astrophysics.
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