8. Among the free parameters of galaxy formation and evolution models, list those that do not depend on the assumed Initial Mass Function (IMF) for the stellar generations. [5 marks]
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It is an important parameter in galaxy formation and evolution models because it affects the overall stellar mass distribution and the subsequent evolution of galaxies. However, there are several free parameters in these models that do not depend on the assumed Show more…
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The initial mass function (IMF) for stars in the local solar neighborhood was determined by Salpeter (1955) and is given by: ξ(M) = ξ₀(M/Msun)⁻²·³⁵ where M is the mass of a star in solar masses and ξ₀ is a constant that sets the density of stars. This simple power-law functional form with a -2.35 exponent is commonly called the Salpeter IMF. The number of stars that form with masses between M and M + dM is given by: ξ(M)dM.
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