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Updated: Mar 1, 2026

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Published on: March 1, 2022
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1NASA/Fermilab Astrophysics Group, MS 209, Batavia, Illinois 60510-0500, USA. sheth@fnal.gov
This study presents simple models for the mass function of collapsed objects, finding that different approaches yield consistent results for the number density and merger histories of virialized clumps.
Area of Science:
- Cosmology
- Astrophysics
Background:
- Understanding the mass function of collapsed objects is crucial for cosmology.
- Previous models have varied in their approaches to describing these objects.
Purpose of the Study:
- To present simple models for the mass function of collapsed objects.
- To demonstrate that seemingly unrelated models yield consistent predictions for virialized clumps.
Main Methods:
- Development of several distinct theoretical models.
- Analysis of the resulting number density and merger histories.
Main Results:
- Different models converge on the same predictions for the number density of virialized clumps.
- Consistent results were obtained for the merger histories of these clumps.
- The spatial distribution of clumps and their contribution to mass distribution were explored.
Conclusions:
- The mass function of collapsed objects can be consistently modeled using various simple approaches.
- These models provide a unified framework for understanding virialized clumps in cosmological simulations.
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