Mathematics – Dynamical Systems
Scientific paper
May 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004aps..apr.d8002y&link_type=abstract
American Physical Society, April Meeting, 2004, May 1-4, 2004, Denver, Colorado April 2004, MEETING ID: APR04, abstract #D8.002
Mathematics
Dynamical Systems
Scientific paper
At large mass, the initial mass function [IMF], which describes the size distribution of stellar objects, is characterized by a power-law with the Salpeter exponent. At small [substellar] mass, theory indicates that there must be some change in this power law. Indeed, direct observation indicates that the IMF is certainly modified below approximately one-tenth of a solar mass. We demonstrate that at very low mass the IMF should again be given by a power law with an exponent opposite in sign to the high-mass exponent. Furthermore, we verify that this low-mass exponent is in principle calculable via dynamical systems theory applied to gravitational collapse. Observational data indicate a broad agreement with the sign of the low-mass exponent, and a preponderance of evidence pointing to a critical mass-scaling exponent approximately equal to two.
Visser Matt
Yunes Nicolas
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