Ion-acoustic envelope modes in a degenerate relativistic electron-ion plasma

M. McKerr; F. Haas; I. Kourakis

doi:10.1063/1.4952774

Ion-acoustic envelope modes in a degenerate relativistic electron-ion plasma

M. McKerr, F. Haas, I. Kourakis

Mathematics

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36 Scopus citations

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 Schrödinger 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.

Original language	British English
Article number	152120
Journal	Physics of Plasmas
Volume	23
Issue number	5
DOIs	https://doi.org/10.1063/1.4952774
State	Published - 1 May 2016

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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{\"o}dinger 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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AB - 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 Schrödinger 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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Ion-acoustic envelope modes in a degenerate relativistic electron-ion plasma

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