A nonextensive insight to the stellar initial mass function

Abstract

the present paper, we propose that the stellar initial mass distributions as known as IMF are best fitted by $q$-Weibulls that emerge within nonextensive statistical mechanics. As a result, we show that the Salpeter's slope of $\sim$2.35 is replaced when a $q$-Weibull distribution is used. Our results point out that the nonextensive entropic index $q$ represents a new approach for understanding the process of the star-forming and evolution of massive stars.

arXiv comment5 pages, 2 figures, Accepted to EPL

References in corpus (7)

• On the variation of the Initial Mass Function
• The initial mass function : from Salpeter 1955 to 2005
• On the function describing the stellar initial mass function
• q-exponential, Weibull, and q-Weibull distributions: an empirical analysis
• The initial mass function modeled by a left truncated beta distribution
• On the rotation of ONC stars in the Tsallis formalism context
• Nonextensivity in the Solar Neighborhood

Cited by in corpus (1)

• Approaching a large deviation theory for complex systems