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The effective acceleration of plasma outflow in the paraboloidal magnetic field
Authors:V S Beskin  E E Nokhrina
Institution:P. N. Lebedev Physical Institute, Leninsky Prosp., 53, Moscow, 119991, Russia;Moscow Institute of Physics and Technology, Dolgoprudny, Moscow region, 141700, Russia
Abstract: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 γ does not exceed the standard value  σ1/3  . On the other hand, in the supersonic region, the Lorentz factor grows with the distance z from the equatorial plane as  γ≈ ( z / R L)1/2  up to the distance   z ≈σ2 R L  , where   R L= c /ΩF  is the radius of the light cylinder. Thus, the maximal Lorentz factor is  γmax≈σ  , which corresponds to almost the full conversion of the Poynting energy flux into the particle kinetic one.
Keywords:MHD  galaxies: jets
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