Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979apj...227..266j&link_type=abstract
Astrophysical Journal, Part 1, vol. 227, Jan. 1, 1979, p. 266-274.
Astronomy and Astrophysics
Astrophysics
10
Approximation, Energy Levels, Particle Energy, Plasma Dynamics, Pulsars, Stellar Atmospheres, Charge Distribution, Kernel Functions, Particle Motion, Plasma Density, Stellar Magnetic Fields, Stellar Rotation
Scientific paper
An expression is derived for the configurational energy, Ec, required to establish a guiding-center plasma with an arbitrary charge distribution, rho(q), which is energetically bound to a neutron star with aligned magnetic and rotational axes. Radiation processes cause the atmosphere to go to the state of minimum total energy that is consistent with both the guiding-center constraints and the stellar source of the plasma. It is argued that energy considerations require that rho(q) can have only one sign along the near-equatorial and the near-polar magnetic surfaces (with opposite signs). The consequences of assuming that this constraint holds for all magnetic surfaces are considered. It is further argued that Ec is the dominant contribution to the total energy of the stellar atmosphere, ET, under the above conditions. The minimum ET may therefore be adequately estimated by determining the solution of delta Ec = 0, produced by the constraint-conserving variations of the charge density. A simple ('shell') trial function for rho(q), which satisfies the constraint and has several arbitrary parameters, is optimized by minimizing the corresponding Ec.
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