Modulational instability of ion-acoustic wave packets in quantum pair-ion plasmas

Misra, A. P.; Ghosh, Nina

doi:10.1007/s10509-010-0472-1

Cited by 6 publications

(4 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Due to the of the particle concentration of spin-up and spin-down electrons in the equation of state (91) we do not need to consider limit of small magnetic field as we have done for three dimensional case (88).…”

Section: B Equation Of State In 2d Degenerate Electron Gasmentioning

confidence: 99%

See 1 more Smart Citation

Many-particle quantum hydrodynamics: Basic principles and fundamental applications

Andreev¹,

Kuz²

2014

Preprint

View full text Add to dashboard Cite

Basic principles and technics of many-particle quantum hydrodynamics are described in full details for the spinless case developed in L. S. Kuz'menkov and S. G. Maksimov, Theor. Math. Phys. 118, 227 (1999). This method has been developed for different physical systems. Necessity of technical details of derivation are given in this paper.We present a detailed derivation of the continuity, Euler, and energy balance equations from many particle Schrodinger equation. Interparticle interaction is explicitly considered as the Coulomb interaction. We show the QHD equations in a form suitable for low dimensional systems. The QHD equations in the cylindrical coordinates are presented as well. We present a method of nonlinear Schrodinger equation derivation from the QHD equations. We describe a method of exchange interaction calculation for two-and three-dimensional quantum plasmas. We discuss explicit form and area of applicability of equations of state for 1D, 2D, and 3D degenerate electrons. We explicitly consider equations of state for degenerate electron gas in an external magnetic field. Considering QHD equations in cylindrical coordinates we focus our attention on the quantum part of the inertia forces and contribution of the quantum Bohm potential to the spectrum of quantum cylindrical waves.We apply the QHD equations to small amplitude collective excitations in linear regime of QHD equations. We consider the Langmuir waves in 1D, 2D, and 3D quantum plasmas including the exchange Coulomb interaction. Considering quantum plasmas located in an external magnetic field we focus our attention on longitudinal waves propagating perpendicular to the external magnetic field. We present this consideration for 1D, 2D, and 3D plasmas. We discuss dependence of the exchange interaction on rate of polarization of spins in the external magnetic field. We include dependence of the pressure of degenerate electrons on the strength of the external magnetic field via the change of occupation of quantum states at application of an external magnetic field.QHD equations in the spherical coordinates are derived. Corresponding inertia forces including the quantum part are obtained. Collective excitations of 2DEG on spherical surface are considered.Equation of state for degenerate 2DEG on a spherical surface is obtained. Spectrum of the collective excitations corresponding to Langmuir waves is calculated.Many-particle QHD in the quasi-classic approximation is also derived. Comparison of the quasiclassic limit with the full scheme of the many-particle QHD is presented.

show abstract

Section: B Equation Of State In 2d Degenerate Electron Gasmentioning

confidence: 99%

“…0 ) [79]- [91], where the Fermi velocity v F e,3D is the function of the equilibrium concentration n 0 . This representation a bit unusual, since it applies the the equilibrium concentration n 0 , which does not exist in general equations we need to truncate.…”

Section: Modified Equations Of Statementioning

confidence: 99%

Many-particle quantum hydrodynamics: Basic principles and fundamental applications

Andreev¹,

Kuz²

2014

Preprint

View full text Add to dashboard Cite

show abstract

“…Various aspects of linear [1,[7][8][9] and nonlinear [5][6][7][8][9][10][11][12][13][14] electrostatic wave propagation have so far been investigated, mainly involving the quantum effect due to electron pressure on the ion dynamics [5][6][7][8][9][10][11][12][13], but also charged dust concentration effects [8] and modified electron dynamical effects [14]. Different nonlinear paradigms have been employed in the description of quantum plasmas.…”

Section: Introductionmentioning

confidence: 99%

“…In general, this is described by a nonlinear Schrödinger equation (NLSE) [17], which can be obtained from the plasma-fluid dynamical equations via a multiscale technique [15,16]. Such a viewpoint was adopted in [13] for ion-acoustic wavepackets in a dense electron-ion quantum plasma, followed by a similar study on electron-scale wavepackets [14], incorporating diffraction effects from the so-called Bohm potential. Modulated wavepackets may be unstable to small perturbations, due to external noise (plasma turbulence).…”

Section: Introductionmentioning

confidence: 99%

Freak waves and electrostatic wavepacket modulation in a quantum electron–positron–ion plasma

McKerr

Kourakis

Haas

2014

Plasma Phys. Control. Fusion

View full text Add to dashboard Cite

The occurrence of rogue waves (freak waves) associated with electrostatic wavepacket propagation in a quantum electron-positron-ion plasma is investigated from first principles. Electrons and positrons follow a Fermi-Dirac distribution, while the ions are subject to a quantum (Fermi) pressure. A fluid model is proposed and analyzed via a multiscale technique. The evolution of the wave envelope is shown to be described by a nonlinear Schrödinger equation (NLSE). Criteria for modulational instability are obtained in terms of the intrinsic plasma parameters. Analytical solutions of the NLSE in the form of envelope solitons (of the bright or dark type) and localized breathers are reviewed. The characteristics of exact solutions in the form of the Peregrine soliton, the Akhmediev breather and the Kuznetsov-Ma breather are proposed as candidate functions for rogue waves (freak waves) within the model. The characteristics of the latter and their dependence on relevant parameters (positron concentration and temperature) are investigated.

show abstract

Arbitrary amplitude solitary waves in an unmagnetized quantum pair-ion plasma

Dutta

2015

Indian J Phys

View full text Add to dashboard Cite

Modulational instability of ion-acoustic wave packets in quantum pair-ion plasmas

Cited by 6 publications

References 17 publications

Many-particle quantum hydrodynamics: Basic principles and fundamental applications

Many-particle quantum hydrodynamics: Basic principles and fundamental applications

Freak waves and electrostatic wavepacket modulation in a quantum electron–positron–ion plasma

Arbitrary amplitude solitary waves in an unmagnetized quantum pair-ion plasma

Contact Info

Product

Resources

About