Electrostatic soliton and double layer structures in unmagnetized degenerate pair plasmas

Mahmood, S.; Khan, S. A.; Ur‐Rehman, Hafeez

doi:10.1063/1.3515074

Cited by 12 publications

(7 citation statements)

References 50 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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. Application of the equilibrium concentration n 0 is also unnecessary in this case, since we can obtain the same result without it, applying Fermi pressure in the traditional form (86).…”

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

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: 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

“…To study DL structures of SEAWs, we apply standard reductive perturbation method and derive an eKdV equation. Space and time variables (x, t) are stretched as [13,16] :…”

Section: Mathematical Modelmentioning

confidence: 99%

“…There are many papers published to explain the existence and formation of electrostatic acoustic type nonlinear DLs structures in quantum plasma. [10,[12][13][14]16] However, in these papers only Bohm potential effects were taken into account.…”

Section: Regarding the Novelty And Originalitysmentioning

confidence: 99%

See 1 more Smart Citation

On the formation of spin dependent double layer structure in astrophysical plasmas

Khanum

Iqbal

Shamir

et al. 2021

Contributions to Plasma Physics

View full text Add to dashboard Cite

Double layers (DLs) are nonlinear structures, and are thought to be responsible for particle acceleration in laboratory plasmas and astrophysical plasmas. In this paper, the existence of spin dependent DLs structure is explored using separate spin evolution quantum hydrodynamic model. Based on reductive perturbation method, we derived an extended Korteweg-de Vries (eKdV) equation to demonstrate the existence and nature of DLs. We found that spin polarization significantly enhanced the amplitude of the electrostatic potential associated with DLs.Further, spin polarization also increases the depth and width of the Sagdeev potential. It is noted that the contribution of Bohm potential effect is essential for the formation of DLs structure. Our results may be helpful to explain the phenomenon of particle acceleration in dense astrophysical environments specifically in a white dwarf.

show abstract

“…27,28 The DL structures in unmagnetized quantum e-p-i plasmas have been investigated. 29 Recently, the small amplitude obliquely propagating ion acoustic DL structures in magnetized quantum e-p-i plasma have been reported by Misra and Samanta. 30 Therefore, it will be interesting to study the acoustic DL structures in magnetized quantum e-p-i plasmas, in which ions are assumed to stationary, while both electron and positron quantum fluids are taken to be dynamic.…”

Section: Introductionmentioning

confidence: 97%

Acoustic double layer structures in dense magnetized electron-positron-ion plasmas

Akhtar

Mahmood

2011

Physics of Plasmas

Self Cite

View full text Add to dashboard Cite

The acoustic double layer structures are studied using quantum hydrodynamic model in dense magnetized electron-positron-ion plasmas. The extended Korteweg-de Vries is derived using reductive perturbation method. It is found that increase in the ion concentration in dense magnetized electron-positron plasmas increases the amplitude as well as the steepness of the double layer structure. However, increase in the magnetic field strength and decrease in the obliqueness of the nonlinear acoustic wave enhances only the steepness of the double layer structures. The numerical results have also been shown by using the data of the outer layer regions of white dwarfs given in the literature.

show abstract

Electrostatic soliton and double layer structures in unmagnetized degenerate pair plasmas

Cited by 12 publications

References 50 publications

Many-particle quantum hydrodynamics: Basic principles and fundamental applications

Many-particle quantum hydrodynamics: Basic principles and fundamental applications

On the formation of spin dependent double layer structure in astrophysical plasmas

Acoustic double layer structures in dense magnetized electron-positron-ion plasmas

Contact Info

Product

Resources

About