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Title: Solutions of the coagulation equation with time-dependent coagulation rates. [For stellar formation mass functions]

Abstract

In attempting to reproduce the initial stellar mass function, the authors solved analytically the coagulation equation with an explicit time dependence in the coagulation rate in order to simulate the gravitational collapse of the fragments upon themselves as they move within the progenitor cloud. Two separate cases have been studied, with and without a mass dependence in the coagulation rate. The solutions show that: (1) inclusion of self-gravitation can change the results to the point of preventing coalescence to work altogether, depending on the values of the two free parameters; (2) the precise form of the mass dependence of the coagulation rate is not of prime importance in most situations of astrophysical interest; (3) coagulation alone is not sufficient to yield a realistic mass spectrum, and fragmentation must also be taken into account. 30 references.

Authors:
;
Publication Date:
Research Org.:
Observatoire du Mont Megantic, Montreal, Canada
OSTI Identifier:
6640868
Resource Type:
Journal Article
Journal Name:
Astrophys. J.; (United States)
Additional Journal Information:
Journal Volume: 309
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; STAR EVOLUTION; MASS SPECTRA; GRAVITATIONAL COLLAPSE; LUMINOSITY; MASS; TIME DEPENDENCE; OPTICAL PROPERTIES; PHYSICAL PROPERTIES; SPECTRA; 640102* - Astrophysics & Cosmology- Stars & Quasi-Stellar, Radio & X-Ray Sources

Citation Formats

Lejeune, C, and Bastien, P. Solutions of the coagulation equation with time-dependent coagulation rates. [For stellar formation mass functions]. United States: N. p., 1986. Web. doi:10.1086/164589.
Lejeune, C, & Bastien, P. Solutions of the coagulation equation with time-dependent coagulation rates. [For stellar formation mass functions]. United States. https://doi.org/10.1086/164589
Lejeune, C, and Bastien, P. 1986. "Solutions of the coagulation equation with time-dependent coagulation rates. [For stellar formation mass functions]". United States. https://doi.org/10.1086/164589.
@article{osti_6640868,
title = {Solutions of the coagulation equation with time-dependent coagulation rates. [For stellar formation mass functions]},
author = {Lejeune, C and Bastien, P},
abstractNote = {In attempting to reproduce the initial stellar mass function, the authors solved analytically the coagulation equation with an explicit time dependence in the coagulation rate in order to simulate the gravitational collapse of the fragments upon themselves as they move within the progenitor cloud. Two separate cases have been studied, with and without a mass dependence in the coagulation rate. The solutions show that: (1) inclusion of self-gravitation can change the results to the point of preventing coalescence to work altogether, depending on the values of the two free parameters; (2) the precise form of the mass dependence of the coagulation rate is not of prime importance in most situations of astrophysical interest; (3) coagulation alone is not sufficient to yield a realistic mass spectrum, and fragmentation must also be taken into account. 30 references.},
doi = {10.1086/164589},
url = {https://www.osti.gov/biblio/6640868}, journal = {Astrophys. J.; (United States)},
number = ,
volume = 309,
place = {United States},
year = {Wed Oct 01 00:00:00 EDT 1986},
month = {Wed Oct 01 00:00:00 EDT 1986}
}