Modified Zakharov equations for plasmas with a quantum correction
By L. Garcia, L. P. Oliveira, Fernando Haas, J. Goedert. 2004
220 citations recorded by the source corpus.
Quantum Zakharov equations are obtained to describe the nonlinear interaction between quantum Langmuir waves and quantum ion-acoustic waves. These quantum Zakharov equations are applied to two model cases, namely, the four-wave interaction and the decay instability. In the case of the four-wave instability, sufficiently large quantum effects tend to suppress the instability. For the decay instability, the quantum Zakharov equations lead to results similar to those of the classical decay instability except for quantum correction terms in the dispersion relations. Some considerations regarding the nonlinear aspects of the quantum Zakharov equations are also offered.
Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/4516841379e85b0411ce130c9eb96f69908ecea1
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
In Atomic and Molecular Physics, and Optics
In Nuclear and High Energy Physics
Citations in the corpus
- Quantum Hydrodynamics (2013, methodology): “The fluid modeling of the nonlinear long-wave-short-wave interaction in plasmas is provided by the Zakharov equations, first derived by Zakharov [82], which get modified in quantum plasmas [83, 84].”
- Colloquium : nonlinear collective interactions in quantum plasmas with degenerate electron fluids (2010, background): “…equations governing the coupling between the dispersive Langmuir and ion-acoustic waves, which are known as the quantum Zakharov equations (Garcia et al., 2005; Haas and Shukla, 2009; Misra et al., 2008; Simpson et al., 2009), admit periodic, quasiperiodic, chaotic and hyper-chaotic…”