SUMMARY
The discussion focuses on the Press Schechter function and its relationship with the variance on mass scale, which is differentiated with respect to mass. The variance is influenced by the wavenumber k through the Power spectrum and transfer function. To eliminate k dependence, a specific value of k must be inserted into the variance on mass scale, assuming linear theory where each wavenumber k is treated as an independent variable. Two resources are provided for further understanding: a lecture note from Berkeley and a detailed derivation from AIP.
PREREQUISITES
- Understanding of the Press Schechter function
- Familiarity with Power spectrum and transfer function
- Knowledge of linear theory in cosmology
- Basic grasp of wavenumber k in physics
NEXT STEPS
- Study the derivation of the Press Schechter function in detail
- Learn about the Power spectrum and its applications in cosmology
- Investigate the role of the transfer function in structure formation
- Explore advanced topics in linear theory and its implications in astrophysics
USEFUL FOR
Astronomers, cosmologists, and researchers in astrophysics who are analyzing structure formation and the statistical properties of mass distributions in the universe.