Linear and non-linear propagation of electron plasma waves in quantum plasma

Linear and non-linear propagation of electron plasma waves in quantum plasma
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量子等离子体中电子等离子体波的线性和非线性传播

DOI:
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发表时间:
2012
期刊:
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影响因子:
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通讯作者:
B. Ghosh
B. Ghosh
中科院分区:
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文献类型:
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作者:
S. Chandra;S. Paul;B. Ghosh

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利用一维量子流体动力学模型,对I型两分量非磁化稠密量子等离子体中电子等离子体波的线性和非线性特性进行了解析和数值研究。结果表明,量子效应改变了电子等离子体波的线性色散特性,而流效应使两种不同模式的激发成为可能。为了描述这种非线性行为,采用标准约化微扰技术并考虑量子力学效应,导出了Korteweg de弗里斯方程。结果表明,依赖于量子衍射参数的某些临界值,模型等离子体中既可以存在稀疏型孤子,也可以存在压缩型孤子。孤立波的结构被证明是显着的量子等离子体参数和流运动的影响。
Using one-dimensional quantum hydrodynamic model, the linear and non-linear characteristics of electron plasma waves have been studied both analytically and numerically in a I two-component unmagnetized dense quantum plasma with streaming motion. It is shown that quantum effect modifies the linear dispersion character of the electron plasma waves and streaming effect makes it possible the excitation of two distinct modes. To describe the non-linear behaviour, Korteweg de Vries equation is derived by using the standard reductive perturbation technique and incorporating quantum-mechanical effects. It is shown that depending on/some critical values of the quantum diffraction parameter both rarefactive and compressive type of solitons can exist in the model plasma. The structure of the solitary waves is shown to be significantly affected by the quantum plasma parameters and streaming motion.