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MHD waves within noncommutative Maxwell theory

Authors: Bourouaine, S.; Benslama, A.;

MHD waves within noncommutative Maxwell theory

Abstract

In the presence of a strong uniform magnetic field, we study the influence of space noncommutativity on the electromagnetic waves propagating through a quasi-static homogeneous plasma. In this treatment, we have adopted a physical model which considers plasma as quasi-neutral single fluid. By using noncommutative Maxwell theory, the ideal magnetohydrodynamics (MHD) equations are established, in which new equilibrium conditions are extracted. As an empirical study, some attractive features of MHD waves behavior are investigated. Furthermore, it is shown that the presence of space noncommutativity enhances slightly the phase velocity of the incompressive shear Alfvén waves. In a compressible plasma, the noncommutativity plays the role of an additional compression on the medium, in which its relevant effect on the fast mode occurs for highly oblique branchs, while the low effect appears when the propagations are nearly parallel or anti-parallel. In addition, it turned out that the influence of space deformation on the slow modes is $\sim 10^{3}$ times smaller than that on the fast modes. The space noncommutativity effect on the slow waves is negligible in low plasma $β$ value, and could appear when $β$ is higher than $0.1,$ thus the extreme modification occurs for oblique slow waves propagating with angles between $30^{\circ}$ and $60^{\circ}$. Finally, we comment on the possible effect of such waves on CMB spectrum in photon-baryon plasma.

7 pages, 4 figures, references added with comments, appear in Phys.Lett.B

Keywords

High Energy Physics - Theory, MHD waves, Nuclear and High Energy Physics, Astrophysics (astro-ph), FOS: Physical sciences, Statistical mechanics of plasmas, General topics in optics and electromagnetic theory, CMB, Astrophysics, High Energy Physics - Theory (hep-th), Noncommutativity, Ionized gas flow in electromagnetic fields; plasmic flow, Noncommutative geometry in quantum theory, noncommutativity, Magnetohydrodynamics and electrohydrodynamics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Top 10%
Average
Green
gold