Mathematics
Scientific paper
Jan 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phdt........28d&link_type=abstract
PhD Dissertation, California Univ. Riverside, CA United States
Mathematics
3
Gamma Rays, Landau Damping, Larmor Precession, Neutron Stars, Viscous Damping, Stellar Magnetic Fields, Gamma Ray Bursts, Chaos, Spherical Shells, Synchrotron Radiation, Mathematical Models, Rotation, Coupling
Scientific paper
Gamma-ray bursts are intense flashes of high-energy radiation. If these bursts are assumed to originate in the neighborhood of the Milky Way galaxy, then the required source energies are large (1040 - 1045 ergs), yet this energy is released on the order of a second. We propose that the source of these bursts is the dynamical behavior of the magnetic field of neutron stars. A model of this behavior is given as two concentric spherical shells which carry opposite charge and are allowed to rotate differentially. These shells are then assumed to be coupled in three ways (2) through the Landau magnetic 'damping', and (3) through a mechanical viscous damping. It is seen that the Landau and mechanical damping effects couple to yield a new form of dynamical behavior which, for a certain range of parameters, is similar to deterministic chaos. In this chaotic regime, it is expected that the magnetic field of the neutron star will undergo large and sudden changes, which would in turn create highly relativistic jets of charged particles. These particles would then radiate a highly directional beam of gamma-rays via synchrotron radiation. We show that for the observed parameters of neutron stars, the model predicts behavior which is in many ways consistent with observational burst data.
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