Mathematics – Probability
Scientific paper
Oct 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982mnras.201..127s&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 201, Oct. 1982, p. 127-135.
Mathematics
Probability
1
Mass Distribution, Particle Collisions, Solar System, Stellar Mass Accretion, Asymptotic Methods, Coagulation, Kernel Functions, Steady State
Scientific paper
It is shown that subject to a certain approximation, a Laplace transformation technique can be used to obtain the mass distribution function for the steady state of a system of coagulating particles together with a source. A detailed solution is also obtained for the case where the source particles all have the same mass. The model is extended to cover the situation where an external mechanism removes particles from the system with a prescribed probability, a situation that corresponds astrophysically to some erosion mechanism or to periodic encounters of the system with external celestial bodies of one type or another. It is shown that the asymptotic mass distribution is basically of the same form as before except that for masses greater than a certain value, the value of the mass distribution index begins to rise above that determined by the analysis. The results are compared with those published by other authors.
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