Long-term evolution of crustal neutron star magnetic fields

Details Long-term evolution of crustal neutron star magnetic fields Long-term evolution of crustal neutron star magnetic fields

Oct 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...433..780u&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 433, no. 2, p. 780-785

Computer Science

Numerical Analysis

22

Magnetic Dipoles, Neutron Stars, Pulsars, Stellar Evolution, Stellar Magnetic Fields, Stellar Models, Asymptotic Properties, Electrical Resistivity, Numerical Analysis

Scientific paper

We have derived an analytic solution to the asymptotic behavior of dipolar magnetic fields that are generated in the crusts of neutron stars. We show that if the conductivity is due to impurity scattering, as expected for late stages of evolution, the surface field strength at the magnetic pole declines with the power law Bp approximately = (t/t0)-2/3. The results are shown to be qualitatively consistent with detailed numerical calculations. These latter results are consistent with some recent analyses of pulsar statistics and the magnetic fields of several binary pulsars with white dwarf companions whose ages have been determined. The dependence of the surface magnetic field on spin period of the pulsar is derived.

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