Estimate Star Formation Rate: Kennicutt-Schmidt Law

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To estimate the star formation rate (SFR) in a plasma cloud, the Kennicutt-Schmidt Law is referenced, though it is primarily empirical. The suggested formula for SFR involves the molecular-gas infall rate multiplied by an efficiency factor, typically around 0.1, and inversely related to the dynamical time. The discussion emphasizes the need for original references that provide a more analytical approach rather than just order of magnitude estimates. Participants express a desire for deeper insights into the theoretical underpinnings of the SFR estimation process. Overall, the conversation highlights the complexity of accurately quantifying star formation rates in astrophysical contexts.
Sagar_C
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How does one analytically estimate star formation rate in a plasma cloud? Could someone lead me to original references? Kennicutt-Schmidt Law, I guess, is empirical.
 
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I'm not familiar with any work that does this in more than order of magnitude sense. The general idea is to estimate the star formation rate as the molecular-gas infall rate - with some efficiency factor, e.g.

\rm{SFR} \sim \epsilon \cdot M_{H} \cdot t_\rm{dyn}^{-1}

Where \epsilon is the efficiency factor (maybe ~0.1), and t_\rm{dyn} is the dynamical time.
 
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