Statistics – Computation
Scientific paper
Nov 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...364..203b&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 364, Nov. 20, 1990, p. 203-211. Research supported by Ball Aerospace System
Statistics
Computation
Electron-Positron Pairs, Hydrodynamic Equations, Neutron Stars, Positron Annihilation, Relativistic Effects, Stellar Winds, Computational Astrophysics, Ideal Fluids, Kinetic Energy, Optical Thickness, Schwarzschild Metric
Scientific paper
The steady, spherically symmetric flow of an ideal fluid dominated by photons and ultrarelativistic electron-positron pairs is analyzed. A new wind equation and a set of critical point conditions are obtained which describe the relativistic flow of an annihilation gas in which the flow velocity exceeds the diffusion velocity of the photons. Numerical results are reported which suggest the possible existence of trapped, pure-pair winds driven by the combined pressure of the pairs and the photons. Most of the annihilation occurs below the critical radius in trapped flows, and a substantial fraction of the total energy of the injected pairs is converted into kinetic energy and radiation. Accurate numerical solutions for the flow velocity and the positron loss rate in optically thin, Newtonian winds are obtained, and a useful approximate analytic relation between the positron loss rate and the flow velocity is derived which suggests that a large number of pairs may survive the annihilation region, ultimately escaping the potential well.
Becker Peter A.
Begelman Mitchell C.
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