Physic Labs

Cosmology and astrophysics

Structure formation and galaxies

Increase the growth factor D to watch small density perturbations amplified by gravity into clusters, filaments and voids of the cosmic web; compare the initial and final point distributions to recognize Jeans instability δ∝D(a)\delta \propto D(a).

Research

Equipment

  • Swarm of points representing matter regions in a cosmological volume
  • “Growth factor D” slider (1–10)
  • “View angle” slider and 3D rotation
  • “Pause” button for the structure-formation run

Procedure

  1. Observe the nearly uniform initial state

    Set “Growth factor D” to 1: the points lie nearly uniformly with slight fluctuations — modeling the early universe where the density contrast δ=Δρ/ρˉ≪1\delta = \Delta\rho/\bar\rho \ll 1. Note the “uniformly random” look for later comparison.

  2. Raise D and watch clusters and filaments form

    Increase D gradually: slightly overdense regions pull in neighboring points — the “rich get richer” of gravitational instability — forming clusters joined by filaments, interleaved with voids. This is the simulation's version of δ∝D(a)\delta \propto D(a) during the linear regime.

  3. Rotate the cosmic web and compare with surveys

    Change “View angle” and drag to rotate: check that the web looks statistically the same from every direction — the universe is isotropic on large scales. Compare with real galaxy maps (2dF/SDSS surveys) and state the role of cold dark matter providing the potential wells into which gas falls.

Simulation

Experiment history

In 1902 James Jeans proved that a self-gravitating medium is unstable to perturbations longer than the Jeans wavelength — the theoretical seed of every cosmic structure. Evgeny Lifshitz developed linear perturbation theory in an expanding universe (1946), and in the 1970s–80s James Peebles and collaborators standardized the power-spectrum plus correlation-function framework for galaxy clustering. The CfA survey (1986), then 2dF and SDSS, revealed the actual “cosmic web” — clusters, filaments, voids — just as simulated. The final piece was the primordial seed: CMB anisotropies δT/T ~ 10⁻⁵ measured by COBE-DMR in 1992 (George Smoot, John Mather, Nobel 2006) gave the initial fluctuation amplitude that gravity amplifies into today's structure.

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