Sigma_8 and n_s Cosmological Parameters

Click For Summary
SUMMARY

The discussion focuses on the cosmological parameters σ8 and n_s, which are critical in galaxy clustering studies. σ8 represents the amplitude of the matter power spectrum on a scale of 8 Mpc/h, reflecting the formation of large-scale structures in the universe. n_s, the spectral index of the scalar power spectrum, is defined by the equation P(k) ∼ k^{n_s -1}. Both parameters are essential for understanding the distribution of matter in the cosmos and are frequently cited in cosmological research papers.

PREREQUISITES
  • Understanding of cosmological parameters and their significance in astrophysics
  • Familiarity with the power spectrum and its mathematical representation
  • Knowledge of galaxy clustering techniques and methodologies
  • Basic grasp of linear cosmological evolution principles
NEXT STEPS
  • Research the implications of σ8 in large-scale structure formation
  • Study the role of n_s in the scalar power spectrum and its impact on cosmology
  • Explore advanced topics in galaxy clustering methodologies
  • Investigate the relationship between cosmological parameters and observational data
USEFUL FOR

Astronomers, astrophysicists, and researchers involved in cosmology and galaxy clustering who seek to deepen their understanding of fundamental cosmological parameters.

SteveDC
Messages
39
Reaction score
0
Hi, I'm doing a project on galaxy clustering and in a lot of papers where they list the cosmological parameters they've used, they list σ8 and ns. Can anyone quickly tell me what these parameters are referring to?

Thanks
 
Space news on Phys.org
n_s is the spectral index of the scalar power spectrum (P(k) \sim k^{n_s -1}). \sigma_8 is the amplitude of the power spectrum on the scale of 8 Mpc/h.
 
bapowell said:
n_s is the spectral index of the scalar power spectrum (P(k) \sim k^{n_s -1}). \sigma_8 is the amplitude of the power spectrum on the scale of 8 Mpc/h.
\sigma_8 is the current amplitude of the matter power spectrum on that scale (as inferred by linear cosmological evolution). This parameter basically encodes information about how much large-scale structure has formed.
 
I always thought it was odd that we know dark energy expands our universe, and that we know it has been increasing over time, yet no one ever expressed a "true" size of the universe (not "observable" universe, the ENTIRE universe) by just reversing the process of expansion based on our understanding of its rate through history, to the point where everything would've been in an extremely small region. The more I've looked into it recently, I've come to find that it is due to that "inflation"...

Similar threads

  • · Replies 8 ·
Replies
8
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 33 ·
2
Replies
33
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 5 ·
Replies
5
Views
7K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 19 ·
Replies
19
Views
3K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 8 ·
Replies
8
Views
3K