Nonlinear Landau damping of wave envelopes in a quantum plasma

Abstract

The nonlinear theory of Landau damping of electrostatic wave envelopes (WEs) is revisited in a quantum electron-positron (EP) pair plasma. Starting from a Wigner-Moyal equation coupled to the Poisson equation and applying the multiple scale technique, we derive a nonlinear Schr{ö}dinger (NLS) equation which governs the evolution of electrostatic WEs. It is shown that the coefficients of the NLS equation, including the nonlocal nonlinear term, which appears due to the resonant particles having group velocity of the WEs, are significantly modified by the particle dispersion. The effects of the quantum parameter $H$ (the ratio of the plasmon energy to the thermal energy densities), associated with the particle dispersion, are examined on the Landau damping rate of carrier waves, as well as on the modulational instability of WEs. It is found that the Landau damping rate and the decay rate of the solitary wave amplitude are greatly reduced compared to their classical values $(H=0)$.

11 pages, 4 figures; Some typos in Eqs. (6) and (A4) are rectified

References in corpus (4)

• Exchange effects in a cold plasma
• Nonlinear Landau damping and modulation of electrostatic waves in a nonextensive electron-positron-pair plasma
• Landau Damping of Electrostatic Waves in Arbitrarily Degenerate Quantum Plasmas
• Quantum corrections to nonlinear ion acoustic wave with Landau damping

Cited by in corpus (5)

• Wave-particle interactions in quantum plasmas
• Effects of Landau damping on ion-acoustic solitary waves in a semiclassical plasma
• Effects of group velocity and multi-plasmon resonances on the modulation of Langmuir waves in a degenerate plasma
• Nonlinear wave damping due to multi-plasmon resonances
• Modulation of kinetic Alfvén waves in an intermediate low-beta magnetoplasma