Action principle for a hot plasma in curved space-time

Heintzmann, H.; Novello, M.

doi:10.1103/physreva.27.2671

Cited by 10 publications

(7 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Linear refers to the simplifying approximations that are possible for small amplitude waves like, Alvén and high frequency electromagnetic waves, and nonlinear refers to large amplitude phenomena not predicted by linear models. In this paper, the set of two-fluid equations for collisionless ideal plasma are used to make an initial attempt to be the discovery of an instability caused by the general relativistic term in the dispersion relations for transverse (electromagnetic) and longitudinal (electrostatic) waves using action principle for a hot plasma developed by Heintzmann and Novello [24]. Similar multifluid equations have recently been used to calculate local dispersion laws for plasma waves in strong and weak gravitational fields; see, e.g., Buzzi et al [25,26], and Rahman et al [27,28,29,30].…”

Section: Introductionmentioning

confidence: 99%

Waves in general relativistic two-fluid plasma around a Schwarzschild black hole

Rahman

2012

Astrophys Space Sci

View full text Add to dashboard Cite

Waves propagating in the relativistic electron-positron or ions plasma are investigated in a frame of two-fluid equations using the 3 + 1 formalism of general relativity developed by Thorne, Price and Macdonald (TPM). The plasma is assumed to be freefalling in the radial direction toward the event horizon due to the strong gravitational field of a Schwarzschild black hole. The local dispersion relations for transverse and longitudinal waves have been derived, in analogy with the special relativistic formulation as explained in an earlier paper, to take account of relativistic effects due to the event horizon using WKB approximation. PACS: 95.30.Qd, 95.30.Sf, 97.60.Lf

show abstract

Section: Introductionmentioning

confidence: 99%

Waves in general relativistic two-fluid plasma around a Schwarzschild black hole

Rahman

2012

Astrophys Space Sci

View full text Add to dashboard Cite

show abstract

“…It is possible to derive ponderomotive forces in special and general relativistic plasmas by the averaged Lagrangian method. The special and general relativistic version of the Low Lagrangian are known (Sturrock 1958;Heinztmann & Schrtifer 1982;Heintzmann & Novello 1983), so it is possible to parallel the analysis of this paper in principle. For the special relativistic case see Dewar (1977).…”

Section: Discussionmentioning

confidence: 99%

An average Lagrangian formulation of ponderomotive forces in Vlasov plasmas

Kentwell

1985

J. Plasma Phys.

View full text Add to dashboard Cite

Whitham's averaged Lagrangian principle, and the Low Lagrangian are used to derive the averaged Lagrangian for slowly varying electrostatic and electromagnetic wave packets in dispersive Vlasov plasmas. From the averaged Lagrangian, the stress tensor and wave-momentum densities are derived for the total wave-particle system. For a specific division of these total quantities into wave and background parts, time-dependent ponderomotive forces in Vlasov plasmas are derived from a momentum conservation theorem. We also show that the wave-induced magnetization current can be derived by the averaged Lagrangian method.

show abstract

“…The transverse part of the Maxwell's equations, Eqs. (31) and (32), and their resultant equation, Eq (33), are linearized to give…”

Section: Linearized Equations For Transverse and Longitudinal Wavesmentioning

confidence: 99%

“…Recently, in Ref. [31] the two-fluid equations for transverse and longitudinal waves are simplified using action principle developed by Heintzmann and Novello [32] and solved using the analytical method developed by Mikhailovskii [33]. In this paper, the dispersion relations for transverse and longitudinal waves are solved numerically using WKB approximation.…”

Section: Introductionmentioning

confidence: 99%

Numerical solutions of ideal two-fluid equations very closed to the event horizon of Schwarzschild black hole

Rahman

2012

Astrophys Space Sci

View full text Add to dashboard Cite

The 3 + 1 formalism of Thorne, Price and Macdonald has been used to derive the linear two-fluid equations describing transverse and longitudinal waves propagating in the two-fluid ideal collisionless plasmas surrounding a Schwarzschild black hole. The plasma is assumed to be falling in radial direction toward the event horizon. The relativistic two-fluid equations have been reformulate, in analogy with the special relativistic formulation as explained in an earlier paper, to take account of relativistic effects due to the event horizon. Here a WKB approximation is used to derive the local dispersion relation for these waves and solved numerically for the wave number k.

show abstract

Action principle for a hot plasma in curved space-time

Cited by 10 publications

References 19 publications

Waves in general relativistic two-fluid plasma around a Schwarzschild black hole

Waves in general relativistic two-fluid plasma around a Schwarzschild black hole

An average Lagrangian formulation of ponderomotive forces in Vlasov plasmas

Numerical solutions of ideal two-fluid equations very closed to the event horizon of Schwarzschild black hole

Contact Info

Product

Resources

About