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arXiv physics/0410251physics.plasm-phphysics.gen-ph
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带量子修正的等离子体Zakharov方程

Modified Zakharov equations for plasmas with a quantum correction

L. G. Garcia, F. Haas, L. P. L. de Oliveira, J. Goedert

摘要:

得到了描述量子朗缪尔波与量子离子声波非线性相互作用的量子Zakharov方程。这些量子Zakharov方程适用于两个模型的情况下,即四波相互作用和衰变不稳定性。在四波不稳定性的情况下,足够大的量子效应倾向于抑制不稳定性。对于衰变不稳定性,量子Zakharov方程导致类似于经典衰变不稳定性的结果,除了色散关系中的量子校正项。还提供了关于量子Zakharov方程的非线性方面的一些考虑。

英文摘要:

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.

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