Undergrad What does L star mean in the Schechter function?

Click For Summary
SUMMARY

The L star (L*) term in the Schechter function represents the characteristic galaxy luminosity at which the distribution of galaxy brightness transitions from a power-law increase at the faint end to an exponential decline at the bright end. This empirical fitting function is crucial for understanding galaxy luminosity distributions, particularly for giant galaxies like the Milky Way and Andromeda, which are rare compared to their brighter counterparts. The Schechter function effectively models the observed number of galaxies across different brightness ranges.

PREREQUISITES
  • Understanding of the Schechter function
  • Familiarity with galaxy luminosity and brightness distributions
  • Basic knowledge of empirical fitting functions in astrophysics
  • Awareness of galaxy classification, particularly giant galaxies
NEXT STEPS
  • Research the mathematical formulation of the Schechter function
  • Explore empirical fitting techniques in astrophysics
  • Study the luminosity functions of different galaxy types
  • Investigate the characteristics of super spiral galaxies
USEFUL FOR

Astronomers, astrophysicists, and students studying galaxy formation and luminosity distributions will benefit from this discussion, particularly those focusing on empirical models in cosmology.

I_laff
Messages
41
Reaction score
2
I'm trying to understand the Schechter function, I read on Wikipedia that the L star term in the function is the 'characteristic galaxy luminosity where the power-law form of the function cuts off'. What does this mean exactly?
 
Astronomy news on Phys.org
It's just an empirical fitting function to the brightness distributions. It's found empirically that the number of galaxies in a certain brightness range increases as a power law at the faint end, but drops off more quickly (exponentially) at the bright end. The L* luminosity is where the function transitions from one behavior to the other. These slides have a nice description.
 
  • Like
Likes I_laff
Thanks for the explanation [emoji846]
 
L* is the luminosity of a giant galaxy like the Milky Way or Andromeda. Such galaxies are rare, and galaxies much brighter are even rarer.

See this article on super spiral galaxies for more.
 
https://en.wikipedia.org/wiki/MoM-z14 Any photon with energy above 24.6 eV is going to ionize any atom. K, L X-rays would certainly ionize atoms. https://www.scientificamerican.com/article/whats-the-most-distant-galaxy/ The James Webb Space Telescope has found the most distant galaxy ever seen, at the dawn of the cosmos. Again. https://www.skyatnightmagazine.com/news/webb-mom-z14 A Cosmic Miracle: A Remarkably Luminous Galaxy at zspec = 14.44 Confirmed with JWST...

Similar threads

  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 75 ·
3
Replies
75
Views
9K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 9 ·
Replies
9
Views
15K
Replies
2
Views
3K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
489