
TL;DR
This paper proposes a universal law linking the largest unstable mass scale in galactic rotation to star formation rates, explained by self-regulation and turbulence in the interstellar medium, with predictions matching observations.
Contribution
It introduces a new relation between the largest unstable mass scale and star formation rate, supported by a theoretical model and observational data.
Findings
Largest unstable mass scale correlates with star formation rate
Self-regulation towards marginal Toomre stability explains the relation
Predicted star formation rates agree with observations
Abstract
We study the galactic-scale triggering of star formation. We find that the largest mass-scale not stabilized by rotation, a well defined quantity in a rotating system and with clear dynamical meaning, strongly correlates with the star formation rate in a wide range of galaxies. We find that this relation can be understood in terms of self-regulation towards marginal Toomre stability and the amount of turbulence allowed to sustain the system in this self-regulated quasi-stationary state. We test such an interpretation by computing the predicted star formation rates for a galactic interstellar medium characterized by lognormal probability distribution function and find good agreement with the observed relation.
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