Nonlinear ion acoustic waves in a quantum degenerate warm plasma with dust grains

Дубинов, А. Е.; Kolotkov, Dmitrii Y.; Sazonkin, M. A.

doi:10.1134/s1063780x10121037

Cited by 17 publications

(20 citation statements)

References 35 publications

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“…More details about the analysis of nonlinear waves in multi-component plasmas with the Bernoulli pseudopotential technique can be found in Dubinov (2007a, b), Dubinov et al (2010Dubinov et al ( , 2011, and in references therein. Theory of highly nonlinear oscillations of current sheets generated by coalescing plasmoids has recently been developed in , with the use of the Bernoulli pseudopotential.…”

Section: Shear Alfvén Snw 2;1 In a Four-species Magnetised Plasmamentioning

confidence: 99%

“…As a natural extension of the original idea of periodic super-nonlinear waves, proposed in Dubinov et al (2011Dubinov et al ( , 2012 and described in detail in Sect. 2, whose phase trajectories envelop at least one separatrix loop, one can imagine the case, where there are several separatrix layers in the phase portrait, and one of them fully envelops the others (see, e.g.…”

Section: Solitary Snw In Plasma: Supersolitonsmentioning

confidence: 99%

“…Additionally, ionacoustic and dust-acoustic modes in dusty plasmas of various models may also have a pseudopotential energy with two minima (see, e.g. Sazonkin 2008, 2013;Baluku et al 2010;Akbari-Moghanjoughi 2010;Mamun and Shukla 2010;Dubinov et al 2011;Verheest 2011 for recent studies). The pseudopotential with two minima also appears in the analyses of electrostatic waves in magnetised electron-positron-ion plasmas (Ansar Mahmood et al 2005), and in the magnetised electron-ion plasma with two oppositely charged ion components (Kaur and Singh Gill 2010).…”

Section: Introductionmentioning

confidence: 99%

“…3.3 for details). In the present review we focus on the results obtained in the pioneer studies of periodic SNWs (Dubinov et al 2011(Dubinov et al , 2012 and supersolitons (Dubinov and Kolotkov 2012b, c;Dubinov et al 2012a) in multi-component plasmas typical for astrophysical and laboratory conditions. We also demonstrate several observational examples of these supernonlinear structures detected in the plasma of the solar atmosphere, Earth's magnetosphere, laboratory and numerical experiments.…”

Section: Introductionmentioning

confidence: 99%

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Above the weak nonlinearity: super-nonlinear waves in astrophysical and laboratory plasmas

Дубинов

Kolotkov

2018

Rev. Mod. Plasma Phys.

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The review summarises recent theoretical achievements and observational manifestations of a new, recently discovered type of nonlinear oscillations in multi-component plasmas, namely super-nonlinear periodic waves and super-nonlinear solitary waves (supersolitons). Both are characterised by a non-trivial topology of their phase portraits, highly anharmonic profile shapes, extremely long periods, and large amplitudes. Based upon multi-fluid magnetohydrodynamic plasma models, examples of ion-acoustic and Alfvén super-nonlinear waves are considered. A multi-component nature of the plasma was revealed to be a crucial condition for the existence of these super-nonlinear waves, with the complexity of the system growing with the number of plasma species accounted for in the model. A minimum number of plasma components which allow for the existence of supernonlinear waves are also discussed. From the observational point of view, typical signatures of periodic super-nonlinear waves are manifested, for example, in the oscillatory processes operating in the magnetised plasma of the solar corona and ground-based plasma machines. Super-nonlinear solitary structures (supersolitons) of an electrostatic origin are recognised in the Earth's magnetosphere, laboratory experiments with chemically active plasmas, and numerical simulations.

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Section: Shear Alfvén Snw 2;1 In a Four-species Magnetised Plasmamentioning

confidence: 99%

Section: Solitary Snw In Plasma: Supersolitonsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Above the weak nonlinearity: super-nonlinear waves in astrophysical and laboratory plasmas

Дубинов

Kolotkov

2018

Rev. Mod. Plasma Phys.

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“…In the mechanical analogy given by (13) the function f 2 (A) acts as an effective mass, and as long as f 2 (A) = 0 the oscillating "particle" position is governed by the potential U B (A) (in the Sagdeev potential approach the effective mass is a constant). More details about the Bernoulli pseudopotential technique and examples of its application to analysis of nonlinear ion-acoustic waves and super-nonlinear shear Alfvén waves in multi-component plasmas can be found in [13][14][15][16], and in references therein. Applications of the Bernoulli pseudopotential method to the analysis of nonlinear fluctuations in a selfgravitating quantum plasmas and in two and three dimensional graphene-like fluids are shown in [17,18], respectively.…”

Section: Nonlinear Analysis With the Bernoulli Pseudopotentialmentioning

confidence: 99%

Nonlinear oscillations of coalescing magnetic flux ropes

2016

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An analytical model of highly nonlinear oscillations occurring during a coalescence of two magnetic flux ropes, based upon two-fluid hydrodynamics, is developed. The model accounts for the effect of electric charge separation, and describes perpendicular oscillations of the current sheet formed by the coalescence. The oscillation period is determined by the current sheet thickness, the plasma parameter β, and the oscillation amplitude. The oscillation periods are typically greater or about the ion plasma oscillation period. In the nonlinear regime, the oscillations of the ion and electron concentrations have a shape of a narrow symmetric spikes.PACS numbers: 52.35.

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Overtaking collisions of oblique isothermal ion‐acoustic multisolitons in ultra‐relativistic degenerate dense magnetoplasmas

El-Shamy

Selim

El-Depsy

et al. 2020

Contributions to Plasma Physics

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Overtaking collisions of oblique isothermal ion-acoustic multisolitons are studied in an ultra-relativistic degenerate dense magnetoplasma, containing non-degenerate inertial warm ions and ultra-relativistic degenerate inertialess electrons and positrons. A non-linear Korteweg-de Vries (KdV) equation describing oblique isothermal ion-acoustic solitons (OIIASs) in such a plasma model is derived. By applying Hirota's bilinear method (HBM), the overtaking collisions of oblique isothermal ion-acoustic multisoliton solutions are investigated. An in-depth discussion shows that the amplitude, the width, and the phase shift of isothermal ion-acoustic multisolitons increase as the obliqueness and the chemical potential of electrons increase. The deviation of the trajectories decreases with increasing concentration of fermions and the ion cyclotron frequency. The present finding of this study is applicable in compact objects, such as white dwarfs and neutron stars, having degenerate ultra-relativistic dense electrons and positrons.

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Nonlinear ion acoustic waves in a quantum degenerate warm plasma with dust grains

Cited by 17 publications

References 35 publications

Above the weak nonlinearity: super-nonlinear waves in astrophysical and laboratory plasmas

Above the weak nonlinearity: super-nonlinear waves in astrophysical and laboratory plasmas

Nonlinear oscillations of coalescing magnetic flux ropes

Overtaking collisions of oblique isothermal ion‐acoustic multisolitons in ultra‐relativistic degenerate dense magnetoplasmas

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