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arXiv · 1607.01339

Ion-Acoustic Envelope Modes in a Degenerate Relativistic Electron-Ion Plasma

M. McKerr·F. Haas·I. Kourakis
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Abstract

A self-consistent relativistic two-fluid model is proposed for one-dimensional electron-ion plasma dynamics. A multiple scales perturbation technique is employed, leading to an evolution equation for the wave envelope, in the form of a nonlinear Schr\"odinger type equation (NLSE). The inclusion of relativistic effects is shown to introduce density-dependent factors, not present in the non-relativistic case - in the conditions for modulational instability. The role of relativistic effects on the linear dispersion laws and on envelope soliton solutions of the NLSE is discussed.

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M. McKerr, F. Haas, I. Kourakis. 2016-07-05. Ion-Acoustic Envelope Modes in a Degenerate Relativistic Electron-Ion Plasma. https://doi.org/10.1063/1.4952774

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