2000
DOI: 10.1103/physreve.62.8493
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Parametric excitation of Alfvén waves by gravitational radiation

Abstract: We consider the parametric excitation of Alfven waves by gravitational radiation propagating on a Minkowski background, parallel to an external magnetic field. As a starting point, standard ideal magnetohydrodynamics equations incorporating the curvature of space-time has been derived. The growth rate of the Alfven waves has been calculated, using the normal-mode approach. Various astrophysical applications of our investigations are discussed, and finally we demonstrate that the coupling coefficients of the in… Show more

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Cited by 32 publications
(33 citation statements)
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(38 reference statements)
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“…We have already given (see above) several references concerning the swing (parametric) interactions between different MHD waves in equilibrium magnetic structures, which directly have been applied to the magnetized solar atmosphere. On the other hand, there are many studies, which reveal the importance of parametric resonances at galactic and cosmological scales (for instance, see [5,8,18,37]). It should be emphasized that the results obtained in this work may explain the properties of oscillatory phenomena in astrophysical objects being away from thermodynamic equilibrium and sustaining forced entropy oscillations.…”
Section: Discussionmentioning
confidence: 99%
“…We have already given (see above) several references concerning the swing (parametric) interactions between different MHD waves in equilibrium magnetic structures, which directly have been applied to the magnetized solar atmosphere. On the other hand, there are many studies, which reveal the importance of parametric resonances at galactic and cosmological scales (for instance, see [5,8,18,37]). It should be emphasized that the results obtained in this work may explain the properties of oscillatory phenomena in astrophysical objects being away from thermodynamic equilibrium and sustaining forced entropy oscillations.…”
Section: Discussionmentioning
confidence: 99%
“…where we have omitted the fluid species index, s, and it is understood that we have one pair of fluid equations (11,12) for each plasma fluid species. We have introduced the 3-vector notation E ≡ (E α ) = (E 1 , E 2 , E 3 ) etc.…”
Section: Basic Equationsmentioning
confidence: 99%
“…The direct escape of plasma radiation is not possible without a nonlinear conversion (see . Recently Servin et al (2000) discuss the non-linear parametric excitation of Alfvén waves by a strong monochromatic GW. A nonlinear study of shock waves in a highly magnetized plasma, driven by GWs has been presented by Ignat'ev (1997).…”
Section: Introductionmentioning
confidence: 99%