Quantum ion-acoustic waves

Haas, Fernando; García, L.; Goedert, J.; Manfredi, Giovanni

doi:10.1063/1.1609446

Cited by 601 publications

(345 citation statements)

References 25 publications

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“…Frequently, the de Broglie wavelength of the charge carriers (electrons, positrons, holes) of these systems is comparable to the characteristic dimensions of the system, making a quantum treatment unavoidable. Advances in the area includes construction of quantum ion-acoustic waves [4], quantum magnetohydrodynamics theories [5], quantum beam instabilities [6]- [8] and shear Alfvén modes in ultra-cold quantum magnetoplasmas [9]. New quantum collective excitations have also been identified for ultra-cold dusty plasmas [10]- [15], where quantum effects can be used for plasma diagnostics.…”

Section: Introductionmentioning

confidence: 99%

Variational approach for the quantum Zakharov system

Haas

2007

Physics of Plasmas

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The quantum Zakharov system is described in terms of a Lagrangian formalism. A time-dependent Gaussian trial function approach for the envelope electric field and the low-frequency part of the density fluctuation leads to a coupled, nonlinear system of ordinary differential equations. In the semiclassic case, linear stability analysis of this dynamical system shows a destabilizing rôle played by quantum effects. Arbitrary value of the quantum effects are also considered, yielding the ultimate destruction of the localized, Gaussian trial solution. Numerical simulations are shown both for the semiclassic and the full quantum cases.

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Section: Introductionmentioning

confidence: 99%

Variational approach for the quantum Zakharov system

Haas

2007

Physics of Plasmas

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“…In a noninteracting low density degenerate Fermi gas model which is usually considered for solid-state materials the Pauli exclusion [9] is the dominant quantum effect although the quantum tunneling may also play a role in hydrodynamic properties of plasma. It has been shown that the tunneling effect which has negative pressure-like nature can lead to dissipation of nonlinear structures in quantum plasmas [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear excitations in strongly coupled Fermi-Dirac plasmas

Akbari-Moghanjoughi

2012

Physics of Plasmas

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In this paper we use the conventional quantum hydrodynamics (QHD) model in combination with the Sagdeev pseudopotential method to explore the effects of Thomas-Fermi nonuniform electron distribution, Coulomb interactions, electron exchange and ion correlation on the large-amplitude nonlinear soliton dynamics in Fermi-Dirac plasmas. It is found that in the presence of strong interactions significant differences in nonlinear wave dynamics of Fermi-Dirac plasmas in the two distinct regimes of nonrelativistic and relativistic degeneracies exist. Furthermore, it is remarked that first-order corrections due to such interactions (which are proportional to the fine-structure constant) are significant on soliton dynamics in nonrelativistic plasma degeneracy regime rather than relativistic one. In the relativistic degeneracy regime, however, these effects become less important and the electron quantum-tunneling and Pauli-exclusion dominate the nonlinear wave dynamics. Hence, application of non-interacting Fermi-Dirac QHD model to study the nonlinear wave dynamics in quantum plasmas such as compact stars is most appropriate for the relativistic degeneracy regime. [1][2][3][4][5][6][7]. This is mainly due to the quantum nature of particle interactions involved in this kind of plasmas. An idealized Fermi-plasma model is the one in which fermions have much lower energies compared to the characteristic Fermi energy defined by the total number of fermions. In such case the quantum plasma is referred to as the zerotemperature quantum plasma. Despite the name, i.e. zero-temperature, it has been shown that such model is useful in description of some compact stellar objects with relatively higher temperatures as 10 4 K [8]. In a noninteracting low density degenerate Fermi gas model which is usually considered for solid-state materials the Pauli exclusion [9] is the dominant quantum effect although the quantum tunneling may also play a role in hydrodynamic properties of plasma. It has been shown that the tunneling effect which has negative pressure-like nature can lead to dissipation of nonlinear structures in quantum plasmas [10][11][12].The main reason for increasing interest in the study of quantum plasmas is two-fold.Semiconductors, inertial confined dense plasmas, laser-mater interaction, etc. can be treated as quantum-like plasmas. On the other hand, astrophysical compact-stars such as dwarfs, pulsars, etc. can also be studied within the framework of quantum plasmas. The study of degenerate Fermi gas under extreme conditions such as ultra-high density and magnetic field can lead to a better understanding of internal structures and physical process in superdense astrophysical entities and stellar chain of evolution. Densities of the order 10 6 -10 9 gcm −3 may arise in white-dwarfs due to gigantic gravitational force leading to a final collapse [13,14]. It is well known that the thermodynamical properties [15] and nonlinear wave dynamics [16][17][18] of a degenerate plasma can exhibit distinct behavior in nonrelativist...

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“…In this case when H = 2 the corresponding Korteweg-de Vries (KdV) equation collapses to Burger's equation, producing an ion-acoustic shock wave structure instead of a soliton [8].…”

Section: Zakharov-kuznetsov Equation For Arbitrary Degeneracymentioning

confidence: 99%

“…Quantum ion-acoustic waves in unmagnetized dense plasma have been investigated using quantum hydrodynamic models [8]. In quantum hydrodynamics, the momentum equation for degenerate electrons contains a pressure term compatible with a Fermi-Dirac distribution function, while the Bohm potential term is included to account for quantum diffraction [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear ion-acoustic solitons in a magnetized quantum plasma with arbitrary degeneracy of electrons

Haas

Mahmood

2016

Phys. Rev. E

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Nonlinear ion-acoustic waves are analyzed in a nonrelativistic magnetized quantum plasma with arbitrary degeneracy of electrons. Quantum statistics is taken into account by means of the equation of state for ideal fermions at arbitrary temperature. Quantum diffraction is described by a modified Bohm potential consistent with finite-temperature quantum kinetic theory in the long-wavelength limit. The dispersion relation of the obliquely propagating electrostatic waves in magnetized quantum plasma with arbitrary degeneracy of electrons is obtained. Using the reductive perturbation method, the corresponding Zakharov-Kuznetsov equation is derived, describing obliquely propagating two-dimensional ion-acoustic solitons in a magnetized quantum plasma with degenerate electrons having an arbitrary electron temperature. It is found that in the dilute plasma case only electrostatic potential hump structures are possible, while in dense quantum plasma, in principle, both hump and dip soliton structures are obtainable, depending on the electron plasma density and its temperature. The results are validated by comparison with the quantum hydrodynamic model including electron inertia and magnetization effects. Suitable physical parameters for observations are identified.

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Quantum ion-acoustic waves

Cited by 601 publications

References 25 publications

Variational approach for the quantum Zakharov system

Variational approach for the quantum Zakharov system

Nonlinear excitations in strongly coupled Fermi-Dirac plasmas

Nonlinear ion-acoustic solitons in a magnetized quantum plasma with arbitrary degeneracy of electrons

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