What is the Optimal Size for a Cosmological N-Body Simulation Box?

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SUMMARY

The optimal size for a cosmological N-body simulation box is determined by equating the density of particles in the simulation with the actual density of galaxies in the universe. For instance, using a Particle Mesh code with 128 grid points in one direction and a total of 128*128*1228 particles, researchers can identify a spherical region at z=0 with density fluctuations of order unity, typically around 8 Mpc, based on COBE normalization and the Cold Dark Matter (CDM) spectrum. This approach ensures accurate simulation of galaxy clustering.

PREREQUISITES
  • Understanding of cosmological N-body simulations
  • Familiarity with Particle Mesh codes
  • Knowledge of COBE normalization
  • Basic concepts of Cold Dark Matter (CDM) spectrum
NEXT STEPS
  • Research techniques for equating simulation density with actual galaxy density
  • Study the implications of using different grid sizes in Particle Mesh codes
  • Explore the COBE normalization process in cosmology
  • Investigate the role of density fluctuations in N-body simulations
USEFUL FOR

Astronomers, astrophysicists, and researchers involved in cosmological simulations and galaxy clustering studies will benefit from this discussion.

cosmoboy
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Hi,
Could some body please explain me how to identfy the size of simulation box in cosmological n-body simulation with the physical scales in the universe. For example if I am using 128 grid points along one direction in a Particle Mesh code and total number of particles are 128*128*1228. Now there are two options, first is; we equate the density of particles in simulation box and compare it with the actual density of galaxies in the universe (for simulating galaxy clustering)
and second, we find the size of a spherical region at z=0, in which density fluctuatios are of the order of unity and identify it with
8 Mpc (Using COBE normalization, CDM spectrum).
Let me know if anyone has the answer
 
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I cannot answer your question, but I a short time ago I had also some questions related N-body simulations (https://www.physicsforums.com/showthread.php?t=43890). I did search some information about the subject and I found this paper:

Cosmological N-Body simulation: Techniques, Scope and Status
http://arxiv.org/abs/astro-ph/0411043

May be it helps (although I had no time to read it till now and I do not know whether there is an answer to your question there).
 
Last edited:
dear hellfire ,
thanks
 

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