1998
DOI: 10.1046/j.1365-8711.1998.01659.x
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On the MHD effects on the force-free monopole outflow

Abstract: The stationary axisymmetric outflow from a rotating sphere with a (split) monopole magnetic field is considered. The stream equation describing the outflow is linearized in terms of the Michel magnetization parameter σ−1 ≪ 1, which allows a self‐consistent analysis of the direct problem. It is shown that for a finite σ the fast magnetosonic surface is located at a finite distance ∼ σ1/3RL (RL = c/ΩF is the light cylinder). We have also found that the particle energy at the fast surface is just equal to the Mic… Show more

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Cited by 149 publications
(190 citation statements)
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References 30 publications
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“…The now-robust association of long-duration GRBs with highly energetic supernovae, as evidenced by SN 1998bw 16 Analyses of ideal relativistic winds predict that 1 $ À 1=3 (Michel 1969;Goldreich & Julian 1970;Beskin et al 1998). However, modeling of the equatorial relativistic wind of the Crab pulsar (Kennel & Coroniti 1984a, 1984bSpitkovsky & Arons 2004) suggests that 1 $ À and not that 1 $ À 1=3 , in contradiction with theoretical expectations.…”
Section: Gamma-ray Burstsmentioning
confidence: 99%
“…The now-robust association of long-duration GRBs with highly energetic supernovae, as evidenced by SN 1998bw 16 Analyses of ideal relativistic winds predict that 1 $ À 1=3 (Michel 1969;Goldreich & Julian 1970;Beskin et al 1998). However, modeling of the equatorial relativistic wind of the Crab pulsar (Kennel & Coroniti 1984a, 1984bSpitkovsky & Arons 2004) suggests that 1 $ À and not that 1 $ À 1=3 , in contradiction with theoretical expectations.…”
Section: Gamma-ray Burstsmentioning
confidence: 99%
“…The pressure from a poloidal magnetic field, on the other hand, can effectively confine the flow. However, an additional contribution from the external medium is necessary for preventing the terminal speed and collimation of the flow to be reached on unreasonably large scales (Tomimatsu 1994;Beskin et al 1998). In accreting systems like active galactic nuclei (AGN), this medium is likely to be the magnetized slow wind ejected by the edges of the accretion disk.…”
Section: Introductionmentioning
confidence: 99%
“…is the magnetic flux, which is a constant of motion along a streamline (Beskin et al 1998;Bucciantini et al 2006). A Keplerian orbit is represented in polar coordinates in the orbit's plane by the equation…”
Section: Force Exerted By the Current Systemmentioning
confidence: 99%
“…The model considers the poloidal field B r to be radial and includes the selfconsistent toroidal field B φ . Other models for steady-state and axisymmetric, but not necessarily radial, winds have been developed more recently (Beskin et al 1998;Bucciantini et al 2006). Their equations admit a set of integrals of motion along stream lines, in particular, the magnetic flux Φ defined in Eq.…”
Section: Possible Location Of the Fast-mode Critical Surfacementioning
confidence: 99%