Random fragmentation of turbulent molecular clouds lying in the central region of giant galaxies
Suman Paul (1), Tanuka Chattopadhyay (1) ((1) Department of Applied, Mathematics, University of Calcutta)

TL;DR
This paper presents a stochastic model for the fragmentation of molecular clouds in galaxy centers, analyzing how different turbulent velocity distributions affect the resulting initial mass function of stars.
Contribution
It introduces a novel stochastic fragmentation model considering Gaussian and Gamma turbulent velocity distributions and their impact on the IMF shape.
Findings
Gaussian turbulence yields shallower IMFs than Salpeter
Skewed turbulence produces IMFs closer to Salpeter
Strong galactic shocks influence star formation and IMF steepness
Abstract
A stochastic model of fragmentation of molecular clouds has been developed for studying the resulting Initial Mass Function (IMF) where the number of fragments, inter-occurrence time of fragmentation, masses and velocities of the fragments are random variables. Here two turbulent patterns of the velocities of the fragments have been considered, namely, Gaussian and Gamma distributions. It is found that for Gaussian distribution of the turbulent velocity, the IMFs are shallower in general compared to Salpeter mass function. On the contrary, a skewed distribution for turbulent velocity leads to an IMF which is much closer to Salpeter mass function. The above result might be due to the fact that strong driving mechanisms e.g. shocks, arising out of a big explosion occurring at the centre of the galaxy or due to big number of supernova explosions occurring simultaneously in massive parent…
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