Statistics – Computation
Scientific paper
Mar 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988a%26a...192..379r&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 192, no. 1-2, March 1988, p. 379-384. FINEP-CNPq-supported research.
Statistics
Computation
4
Computational Astrophysics, Interstellar Matter, Nucleation, Graphite, Mathematical Models, Reaction Kinetics, Time Temperature Parameter
Scientific paper
Time-dependent nucleation processes have been a challenging problem, for which no general solution is available so far. This paper is concerned with the numerical aspects of the problem, specially in the small cluster region, and within physical constraints which are adequate for astrophysical environments. Most important of these is the temperature time-dependence, which is assumed to be sufficiently slow to allow the definition of a quasi-static process. It is shown that for clusters smaller than a limiting size, the time derivative of the ratio between the actual and equilibrium concentrations may be neglected. As a consequence the system of differential equations becomes a set of algebraic non-linear equations. The solution of the algebraic approximation is shown to be a satisfactory approximation up to the condensation point, where the quasi-static assumption breaks down and the system approaches the steady state.
Benevides-Soares Paulo
Rossi C. F. S.
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