Mathematics – Probability
Scientific paper
Oct 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975apj...201..168l&link_type=abstract
Astrophysical Journal, vol. 201, Oct. 1, 1975, pt. 1, p. 168-178.
Mathematics
Probability
10
Interstellar Matter, Planetary Nebulae, Stellar Evolution, Astronomical Models, Clumps, Ionizing Radiation, Lyman Spectra, Recombination Coefficient, Reynolds Number, Satellite Observation, Scorpius Constellation, Statistical Analysis, Time Dependence
Scientific paper
A statistical time-dependent model for the effects on the interstellar gas of the ionizing radiation from UV stars is presented. The radiation from the stars is assumed to be emitted as monochromatic bursts at random times and locations. The thermal and ionization history of the gas is followed in a Monte Carlo simulation. Probability densities as well as mean values for the ionization fraction, temperature, and other observable quantities are derived. The fluctuations in observed quantities due to the stochastic nature of the model are estimated. Models of the interstellar medium perpendicular to the galactic plane are developed and compared with observations. The action of the UV stars can explain the bulk properties of the interstellar gas toward the galactic poles and is consistent with the Copernicus satellite observations toward lambda Scorpii.
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