Nonlinear dynamics of ion acoustic waves in quantum pair-ion plasmas
TL;DR: 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 .
Citations
More filters
TL;DR: In this paper, the authors investigated the multistability and chaotic scenario of arbitrary amplitude ion-acoustic waves in a quantum plasma consisting of negative ions, positive ions and electrons, and the normalized basic equations are transformed to a four dimensional conservative dynamical system by introducing a travelling wave variable.
Abstract: Abstract Multistability and chaotic scenario of arbitrary amplitude ion-acoustic waves in a quantum plasma consisting of negative ions, positive ions and electrons are investigated. The normalized basic equations are transformed to a four dimensional conservative dynamical system by introducing a travelling wave variable. Stability of the fixed points for the corresponding linearized system is briefly examined. Chaotic and quasi-periodic features of the arbitrary amplitude ion-acoustic waves are discussed using effective tools, viz. phase orientations, time series graph and graphs of Lyapunov exponents. Multistability phenomena is established with the help of phase spaces, largest Lyapunov exponents and cross-section of basins of attraction. The chaotic phenomena is further verified by 0−1 test. Results of this study can be applied in understanding dynamical phenomena of arbitrary amplitude ion-acoustic waves in quantum pair-ion plasmas.
8 citations
Journal Article•
8 citations
TL;DR: In this article , the dynamics of nonlinear and supernonlinear ion-acoustic waves are studied in the framework of the Korteweg-de Vries (KdV) and modified KdV equations which are derived employing the reductive perturbation technique.
Abstract: A four-component quantum plasma consisting of electrons, positrons, negative heavy ions and positive light ions is proposed in this work. The dynamics of nonlinear and supernonlinear ion-acoustic waves are studied in the framework of the Korteweg–de Vries (KdV) and modified Korteweg–de Vries (mKdV) equations which are derived employing the reductive perturbation technique. Using Galilean transformation these two evolution equations are transformed into planar dynamical systems. All possible phase portraits and corresponding small-amplitude Sagdeev's pseudopotential of these dynamical systems are presented graphically. The unique topology of phase portrait and a maxima in between two minimas in pseudopotential curves clearly establish quantum ion-acoustic superperiodic waves. Solitary, periodic and superperiodic wave solutions corresponding respectively to homoclinic, periodic and superperiodic orbits in phase portraits are obtained numerically and the influence of different parameters on these waves is observed. Further, various kinds of analytical wave solutions for the two evolution equations are discussed.
7 citations
TL;DR: In this paper, the multistability and dynamical properties of ion-acoustic flow are studied in a quantum plasma containing positive beam ions, positive ions and electrons, and a four dimensional conservative dynamical system is proposed for the considered plasma system and analyzed by considering effects of Mach number and quantum diffraction parameter.
Abstract: Multistability and dynamical properties of ion-acoustic flow are studied in a quantum plasma containing positive beam ions, positive ions and electrons. A four dimensional conservative dynamical system has been proposed for the considered plasma system and is analyzed by considering effects of Mach number and quantum diffraction parameter. Coexistences of multiple chaotic trajectories, chaotic with quasiperiodic and multiperiodic trajectories and chaotic with quasi-periodic and periodic trajectories for ion-acoustic waves are established. The results are suitable for application in comprehending the beam-plasma interaction and studying dynamics of coexisting features in extreme astrophysical plasmas, such as, neutron stars.
5 citations
TL;DR: In this article, a Langevin dynamics simulation of a pair-ion plasma (PIP) system was performed in the presence of an external magnetic field, and the phase diagram obtained distinguishing the no-lane and lane states was systematically determined from a study of various Coulomb coupling parameter values.
Abstract: Lane formation dynamics in externally driven pair-ion plasma (PIP) particles is studied in the presence of external magnetic field using Langevin dynamics (LD) simulation. The phase diagram obtained distinguishing the no-lane and lane states is systematically determined from a study of various Coulomb coupling parameter values. A peculiar lane formation-disintegration parameter space is identified; lane formation area extended to a wide range of Coulomb coupling parameter values is observed before disappearing to a mixed phase. The different phases are identified by calculating the order parameter. This and the critical parameters are calculated directly from LD simulation. The critical electric field strength value above which the lanes are formed distinctly is obtained, and it is observed that in the presence of the external magnetic field, the PIP system requires a higher value of the electric field strength to enter into the lane formation state than that in the absence of the magnetic field. We further find out the critical value of electric field frequency beyond which the system exhibits a transition back to the disordered state and this critical frequency is found as an increasing function of the electric field strength in the presence of an external magnetic field. The movement of the lanes is also observed in a direction perpendicular to that of the applied electric and magnetic field directions, which reveals the existence of the electric field drift in the system under study. We also use an oblique force field as the external driving force, both in the presence and absence of the external magnetic field. The application of this oblique force changes the orientation of the lane structures for different applied oblique angle values.
5 citations
References
More filters
TL;DR: In this article, the one-dimensional two-species quantum hydrodynamic model is considered in the limit of small mass ratio of the charge carriers, and the system is shown to support linear waves, which are described by a deformed Korteweg-de Vries equation.
Abstract: The one-dimensional two-species quantum hydrodynamic model is considered in the limit of small mass ratio of the charge carriers. Closure is obtained by adopting an equation of state pertaining to a zero-temperature Fermi gas for the electrons and by disregarding pressure effects for the ions. By an appropriate rescaling of the variables, a nondimensional parameter H, proportional to quantum diffraction effects, is identified. The system is then shown to support linear waves, which in the limit of small H resemble the classical ion-acoustic waves. In the weakly nonlinear limit, the quantum plasma is shown to support waves described by a deformed Korteweg–de Vries equation which depends in a nontrivial way on the quantum parameter H. In the fully nonlinear regime, the system also admits traveling waves which can exhibit periodic patterns. The quasineutral limit of the system is also discussed.
560 citations
01 Jan 1966
365 citations
Additional excerpts
...…of (2.14) and (2.15) after some straightforward mathematical manipulation the energy equation can be written as 1 2 ( dφ dξ )2 +ψ(φ)= 0, (3.1) where the Sagdeev (1966) pseudopotential ψ(φ) is given by (keeping terms up to φ3) ψ(φ)= F1φ2 + F2φ3, (3.2) with F1 = αβ2M2 + 1 2M2 −µa1 (3.3) and F2 =…...
[...]
TL;DR: In this article, a multistream model representing a statistical mixture of N pure states, each described by a wave function, is considered and the dispersion relation for the two-stream instability is derived.
Abstract: The dynamics of a quantum plasma can be described self-consistently by the nonlinear Schr\"odinger-Poisson system. We consider a multistream model representing a statistical mixture of N pure states, each described by a wave function. The one-stream and two-stream cases are investigated. We derive the dispersion relation for the two-stream instability and show that a new, purely quantum, branch appears. Numerical simulations of the complete Schr\"odinger-Poisson system confirm the linear analysis, and provide further results in the strongly nonlinear regime. The stationary states of the Schr\"odinger-Poisson system are also investigated. These can be viewed as the quantum mechanical counterpart of the classical Bernstein-Greene-Kruskal modes, and are described by a set of coupled nonlinear differential equations for the electrostatic potential and the stream amplitudes.
342 citations
TL;DR: Basic characteristics of this plasma are discussed in terms of the differences from ordinary electron-ion plasmas, such as a phenomenon in the absence of sheath and potential structure formation.
Abstract: We have developed a novel method for generating pure pair plasma which consists of positive- and negative-charged particles with an equal mass The pair-ion plasma without electrons is generated using fullerene as an ion source through the processes of hollow-electron-beam impact ionization, electron attachment, preferential radial diffusion of ions, and resultant electron separation in an axial magnetic field Basic characteristics of this plasma are discussed in terms of the differences from ordinary electron-ion plasmas, such as a phenomenon in the absence of sheath and potential structure formation
297 citations
"Nonlinear dynamics of ion acoustic ..." refers background or methods in this paper
...Oohara and Hatakeyama (Oohara & Hatakeyama 2003; Oohara, Date & Hatakeyama 2005) developed a novel method for the generation of a PI plasma by impact ionization of a gas of fullerene (C60) carbon....
[...]
...A dense fullerene-pair plasma in the laboratory has recently been reported (Oohara & Hatakeyama 2003; Oohara et al. 2005; Oohara & Hatakeyama 2007) and the existence of nonlinear waves in such an environment has been confirmed experimentally....
[...]
Posted Content•
TL;DR: The dynamics of a quantum plasma can be described self-consistently by the nonlinear Schrodinger-Poisson system, and a multistream model representing a statistical mixture of N pure states, each described by a wave function is considered.
Abstract: The dynamics of a quantum plasma can be described self-consistently by the nonlinear Schroedinger-Poisson system. Here, we consider a multistream model representing a statistical mixture of N pure states, each described by a wavefunction. The one-stream and two-stream cases are investigated. We derive the dispersion relation for the two-stream instability and show that a new, purely quantum, branch appears. Numerical simulations of the complete Schroedinger-Poisson system confirm the linear analysis, and provide further results in the strongly nonlinear regime. The stationary states of the Schroedinger-Poisson system are also investigated. These can be viewed as the quantum mechanical counterpart of the classical Bernstein-Greene-Kruskal modes, and are described by a set of coupled nonlinear differential equations for the electrostatic potential and the stream amplitudes.
295 citations