Linear and nonlinear ion-acoustic waves in non-relativistic quantum plasmas with arbitrary degeneracy

Abstract

Linear and nonlinear ion-acoustic waves are studied in a fluid model for non-relativistic, unmagnetized quantum plasma with electrons with an arbitrary degeneracy degree. The equation of state for electrons follows from a local Fermi-Dirac distribution function and apply equally well both to fully degenerate or classical, non-degenerate limits. Ions are assumed to be cold. Quantum diffraction effects through the Bohm potential are also taken into account. A general coupling parameter valid for dilute and dense plasmas is proposed. The linear dispersion relation of the ion-acoustic waves is obtained and the ion-acoustic speed is discussed for the limiting cases of extremely dense or dilute systems. In the long wavelength limit the results agree with quantum kinetic theory. Using the reductive perturbation method, the appropriate Korteweg-de Vries equation for weakly nonlinear solutions is obtained and the corresponding soliton propagation is analyzed. It is found that soliton hump and dip structures are formed depending on the value of the quantum parameter for the degenerate electrons, which affect the phase velocities in the dispersive medium.

References in corpus (5)

• Physics of Strongly Magnetized Neutron Stars
• Quantum hydrodynamics for plasmas -- a Thomas-Fermi theory perspective
• Ion-acoustic cnoidal waves in a quantum plasma
• Scaling of Magneto-Quantum-Radiative Hydrodynamic Equations: From Laser-produced Plasmas to Astrophysics
• Solid state plasmas

Cited by in corpus (10)

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• Theoretical foundations of quantum hydrodynamics for plasmas
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• Ground State Energy of Hydrogen-Like Ions in Quantum Plasmas
• Coupling between Ion-Acoustic Waves and Neutrino Oscillations
• Stability of nucleus-acoustic waves in completely degenerate white dwarf cores and their nearly degenerate ambience
• Ion-acoustic solitary waves in a partially degenerate plasma
• Effect of Dynamic Ions on Band Structure of Plasmon Excitations
• Ion-acoustic solitons in a relativistic Fermi plasma at finite temperature
• Resonant Electron-Plasmon Interactions in Drifting Electron Gas