The effective acceleration of plasma outflow in the paraboloidal magnetic field

The problem of the efficiency of particle acceleration for a paraboloidal poloidal magnetic field is considered within the approach of steady axisymmetric magnetohydrodynamic (MHD) flow. For the large Michel magnetization parameter σ it is possible to linearize the stream equation near the force-free solution and to solve the problem self-consistently as was done by Beskin, Kuznetsova & Rafikov for a monopole magnetic field. It is shown that, on the fast magnetosonic surface (FMS), the particle Lorentz factor y does not exceed the standard value σ 1/3 . On the other hand, in the supersonic region, the Lorentz factor grows with the distance z from the equatorial plane as y ≈ (z/R L ) 1/2 up to the distance z ≈ σ 2 R L , where R L = c/Ω F is the radius of the light cylinder. Thus, the maximal Lorentz factor is γ max ≈ σ, which corresponds to almost the full conversion of the Poynting energy flux into the particle kinetic one.

[1]  Greg M. Madejski,et al.  Are Quasar Jets Dominated by Poynting Flux? , 2005, astro-ph/0502115.

[2]  R. Sunyaev,et al.  Scattering in the vicinity of relativistic jets: A method for constraining jet parameters , 2004, astro-ph/0405452.

[3]  S. Komissarov.  General relativistic magnetohydrodynamic simulations of monopole magnetospheres of black holes , 2004, astro-ph/0402430.

[4]  S. S. Komissarov,et al.  Electrodynamics of black hole magnetospheres , 2004, astro-ph/0402403.

[5]  J. Arons,et al.  Time Dependence in Relativistic Collisionless Shocks: Theory of the Variable “Wisps” in the Crab Nebula , 2004, astro-ph/0402123.

[6]  Philip Chang,et al.  Magnetar Spin-Down, Hyperenergetic Supernovae, and Gamma-Ray Bursts , 2004, astro-ph/0401555.

[7]  H. Lee,et al.  Two-dimensional Poynting flux dominated flow onto a Schwarzschild black hole , 2004, astro-ph/0401143.

[8]  N. Vlahakis.  Ideal Magnetohydrodynamic Solution to the σ Problem in Crab-like Pulsar Winds and General Asymptotic Analysis of Magnetized Outflows , 2003, astro-ph/0309292.

[9]  Technology,et al.  Radiation drag effects on magnetically dominated outflows around compact objects , 2002, astro-ph/0209572.

[10]  N. Vlahakis,et al.  Relativistic Magnetohydrodynamics with Application to Gamma-Ray Burst Outflows. I. Theory and Semianalytic Trans-Alfvénic Solutions , 2003, astro-ph/0303482.

[11]  M. Livio,et al.  Evidence for initial jet formation by an accretion disk in the radio galaxy M87 , 2002 .

[12]  Y. Lyubarsky,et al.  Reconnection in Pulsar Winds , 2001, Publications of the Astronomical Society of Australia.

[13]  Y. Lyubarsky,et al.  Reconnection in a Striped Pulsar Wind , 2000, astro-ph/0009270.

[14]  V. Beskin,et al.  On the internal structure of relativistic jets , 2000, astro-ph/0006105.

[15]  I. Okamoto,et al.  On the magnetohydrodynamic decollimation in compact objects , 2000 .

[16]  R. Rafikov,et al.  On the particle acceleration near the light surface of radio pulsars , 2000 .

[17]  H. Lee,et al.  The Blandford-Znajek process as a central engine for a gamma-ray burst , 1999, astro-ph/9906213.

[18]  William B. Sparks,et al.  HUBBLE SPACE TELESCOPE Observations of Superluminal Motion in the M87 Jet , 1999 .

[19]  T. Chiueh,et al.  A Critical Analysis of Ideal Magnetohydrodynamic Models for Crab-like Pulsar Winds , 1998 .

[20]  R. Rafikov,et al.  On the MHD effects on the force-free monopole outflow , 1998 .

[21]  I. Okamoto,et al.  Pair Plasma Production in a Force-free Magnetosphere around a Supermassive Black Hole , 1998 .

[22]  V. S. Beskin.  Axisymmetric stationary flows in compact astrophysical objects , 1997 .

[23]  J. Biretta,et al.  Detection of Proper Motions in the M87 Jet , 1995 .

[24]  S. Bogovalov.  Formation of jets during the ejection of plasma by an axisymmetric rotator , 1995 .

[25]  J. Contopoulos.  Force-free Self-similar Magnetically Driven Relativistic Jets , 1995 .

[26]  Zhi-Yun Li,et al.  Asymptotic domination of cold relativistic MHD winds by kinetic energy flux , 1994 .

[27]  D. Eichler.  Magnetic confinement of jets , 1993 .

[28]  T. Chiueh,et al.  Electromagnetically Driven Relativistic Jets: A Class of Self-similar Solutions , 1992 .

[29]  Mitchell C. Begelman,et al.  Asymptotic structure of hydromagnetically driven relativistic winds , 1991 .

[30]  F. Coroniti.  Magnetically Striped Relativistic Magnetohydrodynamic Winds: The Crab Nebula Revisited , 1990 .

[31]  C. Kennel,et al.  Confinement of the Crab pulsar's wind by its supernova remnant , 1984 .

[32]  R. Svensson.  Steady mildly relativistic thermal plasmas: processes and properties , 1984 .

[33]  Martin J. Rees,et al.  Theory of extragalactic radio sources , 1984 .

[34]  R. Blandford,et al.  Hydromagnetic flows from accretion discs and the production of radio jets , 1982 .

[35]  R. Blandford,et al.  Electromagnetic extraction of energy from Kerr black holes , 1977 .

[36]  R. D. Blandford,et al.  Accretion Disc Electrodynamics — A Model for Double Radio Sources , 1976 .

[37]  F. Michel.  Relativistic stellar-wind torques , 1969 .