Exponential Data Fitting and its Applications

by

Victor Pereyra, Godela Scherer

DOI: 10.2174/97816080504821100101
eISBN: 978-1-60805-048-2, 2010
ISBN: 978-1-60805-345-2



Indexed in: Scopus, EBSCO.

Real and complex exponential data fitting is an important activity in many different areas of science and engineering, ranging from Nu...[view complete introduction]
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Modelling type Ia supernova light curves

- Pp. 145-164 (20)

Bert W. Rust, Dianne P. O’Leary and Katharine M. Mullen

Abstract

Type Ia supernova light curves are characterized by a rapid rise from zero luminosity to a peak value, followed by a slower quasi-exponential decline. The rise and peak last for a few days, while the decline persists for many months. It is widely believed that the decline is powered by the radioactive decay chain 56Ni → 56Co → 56Fe, but the rates of decline in luminosity do not exactly match the decay rates of Ni and Co. In 1976, Rust, Leventhal, and McCall [19] presented evidence that the declining part of the light curve is well modelled by a linear combination of two exponentials whose decay rates were proportional to, but not exactly equal to, the decay rates for Ni and Co. The proposed reason for the lack of agreement between the rates was that the radioactive decays take place in the interior of a white dwarf star, at densities much higher than any encountered in a terrestrial environment, and that these higher densities accelerate the two decays by the same factor. This paper revisits this model, demonstrating that a variant of it provides excellent fits to observed luminosity data from 6 supernovae.

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