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 .
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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.
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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.
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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.
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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.
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Journal Article•
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"Nonlinear dynamics of ion acoustic ..." refers background in this paper
...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....
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TL;DR: In this article, large-amplitude electrostatic solitary structures are investigated in an unmagnetized charge-varying pair-ion-dust plasma in which electrons and positrons have equal masses.
Abstract: Large-amplitude electrostatic solitary structures are investigated in an unmagnetized charge-varying pair-ion-dust plasma in which electrons and positrons have equal masses. Their spatial patterns are significantly modified by the presence of the positron component. In particular, it may be noted that an addition of a small concentration of positrons abruptly reduces the potential pulse amplitude as well as the net negative charge residing on the dust grain surface. Under certain conditions, the solitary wave suffers the well-known anomalous damping leading to the development of collisionless shock waves. This investigation may be taken as a prerequisite for the understanding of the electrostatic solitary waves that may occur in space dusty plasmas.
7 citations
"Nonlinear dynamics of ion acoustic ..." refers background in this paper
...Tribeche et al. (2007) studied electrostatic solitary structures in a charge-varying PI dusty plasma....
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TL;DR: In this article, the Sagdeev potential (pseudopotential) as function of electrostatic potential is studied in the presence of pair-ions and stationary additional ions in presence of the pseudoparticle.
Abstract: The propagation of electrostatic waves is studied in plasma system con- sisting of pair-ions and stationary additional ions in presence of the Sagdeev potential (pseudopotential) as function of electrostatic potential (pseudoparticle). It is remarked that both compressive and rarefective solitary waves can be propagated in this plasma system. These electrostatic solitary waves, however, cannot be propagated if the density of stationary ions increases from one critical value or decreases from another when the temperature and the Mach number are fixed. Also, when pseudoparticle is affected with a little dissipation of energy, it is trapped in potential well and can oscillate. Oscillations generate shock wave in the media, and in the negative minimal point of the well it is possible to compute numerically the shock wavelength for the allowed values of the plasma parameters.
5 citations
TL;DR: In this paper, the nonlinear amplitude modulation dynamics of electrostatic oscillations of massive charged defects in a three-component pair plasma is investigated, i.e., doped pair-ion plasmas (anticipating the injection of a massive charged component in the background, e.g. in fullerene experiments).
Abstract: The nonlinear amplitude modulation dynamics of electrostatic oscillations of massive charged defects in a three-component pair plasma is investigated, i.e. doped pair-ion plasmas (anticipating the injection of a massive charged component in the background, e.g. in fullerene experiments). Ion-acoustic oscillations in electron-positron-ion (e-p-i) plasmas are also covered, in the appropriate limit. Linear and nonlinear effects (MI, envelope modes) are discussed. The role of the temperature and density ratio between the pair species is stressed.
3 citations
"Nonlinear dynamics of ion acoustic ..." refers background in this paper
...…properties of PI plasmas so as to understand astrophysical plasmas, such as magnetospheric, ionospheric, solar wind pair plasmas, etc. (Luque et al. 2005; Schamel & Luque 2005; Vranjes & Poedts 2005; Mahajan, Shatashvili & Berezhiani 2009; Kourakis & Saini 2010; Malekolkalami & Mohammadi 2012)....
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01 Jan 2010
TL;DR: In this paper, the nonlinear amplitude modulation dynamics of electrostatic oscilla-tions of massive charged defects in a three-component pair plasma is investigated, i.e., doped pair-ion plasmas (anticipating the injection of a massive charged com- ponent in the background, eg in fullerene experiments).
Abstract: The nonlinear amplitude modulation dynamics of electrostatic oscilla- tions of massive charged defects in a three-component pair plasma is investigated, ie doped pair-ion plasmas (anticipating the injection of a massive charged com- ponent in the background, eg in fullerene experiments) Ion-acoustic oscillations in electron-positron-ion (e-p-i) plasmas are also covered, in the appropriate limit Linear and nonlinear effects (MI, envelope modes) are discussed The role of the temperature and density ratio between the pair species is stressed
1 citations