Other
Scientific paper
Jul 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981apj...247..279s&link_type=abstract
Astrophysical Journal, Part 1, vol. 247, July 1, 1981, p. 279-281.
Other
Cosmic Plasma, Cyclotron Radiation, Magnetohydrodynamic Stability, Polar Caps, Pulsar Magnetospheres, Pulsars, Crab Nebula, Plasma Density, Plasma Waves, Stellar Magnetic Fields
Scientific paper
The theory of the cyclotron instability is reviewed to derive a criterion for its development in pulsar magnetospheres. The desirability of an instability which will cause pitch-angle scattering of some particles close to the light cylinder has been pointed out repeatedly by Shklovsky (1970, 1977) to explain the synchrotron spectrum of the Crab Nebula. Using recent observational constraints on pulsar radio emission, which admittedly contain some model-dependent assumptions, leads to pair densities near the surface of less than 3.3 x 10 to the 16th/cu cm for Crab pulsar parameters. With beam and pair plasma relativistic factors of the Ruderman and Sutherland (1975) or Arons and Scharlemann (1979) models, which are consistent with this density, application of the criterion for cyclotron instability shows it to be absent. The desirability of investigating other instabilities which may act like the cyclotron instability, but with much lower density requirements, is pointed out and some possible candidates are given.
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