Abstract
The problem of the efficiency of particle acceleration for parabolic poloidal magnetic field is considered within the approach of steady axisymmetric 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 monopole magnetic field. It is shown that on the fast magnetosonic surface 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/RL)1/2 up to the distance z ≈ σ2RL, where RL = 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.
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