An investigation of the kinematics of a rotating relativistic plasma stream in the perpendicular rotator model of the pulsar magnetosphere is presented.It is assumed that the plasma (ejected from the pulsar) moves along the pulsar magnetic field lines and also corotates with them. The field lines are considered to be radial straight lines, located in the plane which is perpendicular to the pulsar rotation axis. The necessity of taking particle inertia into account is discussed. It is argued that the "massless" ("force-free") approximation cannot be used for the description of this problem. The frame selection is discussed and it is shown that it is convenient to discuss the problem in the noninertial frame of ZAMOs (Zero Angular Momentum Observers). The equation of motion and the exact set of equations describing the behaviour of a relativistic plasma stream in the pulsar magnetosphere is obtained. The possible relevance of this investigation for the understanding of the formation process of a pulsar magnetosphere is discussed.2
A new mechanism of wisp formation in the Crab Nebula, without recourse to a shock wave, is presented. The mechanism is based on the plasma processes taking place in the relativistic electron-positron plasma, in particular, on excitation of the drift instability in the slightly inhomogeneous magnetic Ðeld of the nebula. The magnetic Ðeld geometry is assumed to be untwisting spiralÈlike, concentrated around the rotational equatorial plane of the pulsar. We infer that the energy is transported from the pulsar to the nebula not only by the Poynting Ñux but also by the kinetic energy of the particles moving along the Ðeld lines. We consider a speciÐc relativistic electron-positron plasma with Lorentz factor penc B D 10 etrated by an ion beam with It is shown that in such a plasma, taking into account the drift, c b D 106. the generation of low-frequency waves propagating transversely to the magnetic Ðeld is possible. In this way the excited Ðeld causes additional alteration of the magnetic Ðeld geometry. The higher lumi-B r nosity of certain spots is explained by the reorientation of the direction of motion of the synchrotron radiation source (Larmor circle) relative to the observer. The sizes, variability of luminosity, spatial asymmetry, polarization, and transfer velocity, i.e., the main properties of the wisps, are explained. Some predictions are also made.
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