Some aspects of relativistic electron-positron plasma dynamics in the magnetosphere of Crab pulsar are investigated. It is shown that because of pulsar, its magnetic eld and magnetospheric relativistic plasma corotation centrifugal force plays important role in the dynamics of latter. Taking into account centrifugal force in the equation of the plasma motion one gets new eect of plasma particle radial braking in the pulsar magnetosphere when the condition Vr > c= p 2 is ful lled for the particle radial velocity. Time dependence of plasma particle radial velocity is harmonic. This is similar to the in uence of external periodic force on pulsar magnetosphere relativistic plasma, as a result of which parametric type instability development takes place and exponentially growing toroidal magnetic eld is generated in the magnetosphere of Crab pulsar. complicated structure and properties. It is widely accepted that pulsar magnetosphere is led with relativistic electron-positron plasma (1). Pulsar radiation is generated in its magnetosphere as a result of the development of various plasma processes in the region above its magnetic poles close to the neutron star surface. Generated radiation is emitted in a narrow cone around the magnetic axis of pulsar. The rotation axis and the magnetic axis of pulsar form some angle between them. So, at some moment during pulsar rotation its magnetic axis is directed towards the Earth and we register the radiation pulse. The period between the successive pulses equals to the period of neutron star rotation. This is the way how the neutron stars have got their name - pulsar means pulsating radio source. From all the above mentioned it becomes evident how extremely important is to study the structure of the pulsar magnetosphere and the dynamical plasma processes which take place there. In the present paper we discuss the case of Crab pulsar PSR 0531+21. This is very interesting and peculiar one among all discovered pulsars. It radiates simultaneously radio, optical, X-ray and Gamma-pulses. Besides its rotation axis and magnetic axis are nearly perpendicular. In the pulsar magnetosphere, close to the neutron star surface magnetic eld has a dominant role. Its energy exceeds the energy of the magnetospheric relativistic electron- positron plasma by many orders of the magnitude. The matter inside pulsar is in super- conductive state and therefore magnetic eld is frozen in it. Besides, magnetic eld is frozen into the magnetospheric plasma too. So, the solid body type rotation - so called corotation of pulsar, its magnetic eld and magnetospheric relativistic electron-positron plasma takes place. Of course, corotation can not take place on large radial distances from the pulsar surface. In fact, corotation is strictly impossible beyond the light cylinder

http://epsppd.epfl.ch/Montreux/pdf/P4_036.pdf

About the toroidal magnetic field generation in the magnetosphere of crab pulsar

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About the toroidal magnetic field generation in the magnetosphere of crab pulsar