Initial mass function - power law

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SUMMARY

The discussion centers on the Initial Mass Function (IMF) in astrophysics, specifically its adherence to a power law. Participants note that while the IMF's shape is still a subject of research, a significant review by Nate Bastian provides insights into its characteristics. The complexities of the physics and chemistry within molecular clouds, where star formation occurs, contribute to the IMF's shape. A three to four-page essay on the IMF's shape is feasible, but explaining the reasons behind its power law nature may be challenging.

PREREQUISITES
  • Understanding of Initial Mass Function (IMF) in astrophysics
  • Familiarity with molecular cloud dynamics and star formation processes
  • Basic knowledge of power law distributions in scientific contexts
  • Ability to analyze astrophysical literature and research papers
NEXT STEPS
  • Read Nate Bastian's review on the shape of the IMF available at arXiv:1011.6512
  • Research the physics and chemistry involved in molecular clouds and their role in star formation
  • Explore the implications of power law distributions in astrophysics
  • Investigate current theories and models explaining the IMF's characteristics
USEFUL FOR

Astronomy students, astrophysicists, and researchers interested in the dynamics of star formation and the characteristics of the Initial Mass Function.

dntsmzns
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Hello, world :)

My first post here.

I have to choose a topic for a project in astrophysics. I intend to major in astronomy and it's my first year of studies, so I don't have much knowledge so far, though I don't mind picking a 'heavy' topic for this assignment - I know I'll benefit from this later.

One of the topics is:
Why (for what astrophysical reasons) the IMF obeys a power law?

Is it possible to answer this question in three to four pages?
Can you recommend some literature / papers on this topic?

Thank you very much. Glad to join you.
 
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Wow, that's a risky one. I think nobody knows why (and if at all) the IMF is or should eb a power-law. At least at low masses, there is most probably a turn-over. A very nice, although long, review on the shape of the IMF is written by Nate Bastian recently:
http://arxiv.org/abs/1011.6512

What determines the shape of the IMF of course is hidden in the, for now rather obscure, physics and chemistry going on deep inside the cores of molecular clouds, where the actual star formation takes place.

I think a 3 or 4 page essay on the shape of the IMF could be very interesting, but explaining why it is a power law seems a little out of reach, I am afraid...
 

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