Zeldovich approximation in large-scale structure formation

E456146

Lagrangian perturbation theory analytical model in cosmology approximation method

The Zeldovich approximation in large-scale structure formation is a seminal analytical model in cosmology that predicts how small initial density perturbations in the early universe evolve into the cosmic web of sheets, filaments, and clusters of galaxies.

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Observed surface forms (1)

Surface form	Occurrences
Zeldovich approximation	0

Statements (48)

Predicate	Object
instanceOf	Lagrangian perturbation theory ⓘ analytical model in cosmology ⓘ approximation method ⓘ
approximationOrder	first-order Lagrangian perturbation theory ⓘ
assumes	growing mode of linear perturbations dominates ⓘ irrotational flow ⓘ pressureless dust (cold dark matter) fluid ⓘ
basedOn	Lagrangian description of fluid elements ⓘ linear theory of gravitational instability ⓘ
captures	anisotropic deformation of matter elements ⓘ large-scale bulk flows ⓘ
comparedTo	second-order Lagrangian perturbation theory (2LPT) ⓘ
context	Friedmann–Lemaître–Robertson–Walker cosmology NERFINISHED ⓘ
describes	evolution of small initial density perturbations ⓘ formation of clusters of galaxies ⓘ formation of filaments in the matter distribution ⓘ formation of sheets (pancakes) in the matter distribution ⓘ formation of the cosmic web ⓘ
failsToCapture	multi-stream dynamics after strong shell crossing ⓘ virialization of collapsed structures ⓘ
field	cosmology ⓘ large-scale structure formation ⓘ physical cosmology ⓘ
historicalSignificance	seminal model in large-scale structure theory ⓘ
improvesUpon	linear perturbation theory for density evolution ⓘ
inspired	adhesion approximation ⓘ higher-order Lagrangian perturbation theory ⓘ
introducedInContextOf	early universe structure formation ⓘ
lessAccurateInRegime	strongly non-linear regime after shell crossing ⓘ
mathematicalForm	x(q,a) = q + D(a) s(q) ⓘ
namedAfter	Yakov Borisovich Zeldovich NERFINISHED ⓘ
predicts	anisotropic collapse of structures ⓘ formation of caustics where particle trajectories cross ⓘ pancake-like caustics ⓘ particle trajectories as straight lines in comoving space ⓘ
relatedTo	Gaussian initial conditions ⓘ cold dark matter paradigm ⓘ power spectrum of initial density fluctuations ⓘ
spaceDependence	displacement direction set by initial potential gradient ⓘ
timeDependence	displacement grows proportionally to linear growth factor ⓘ
usedFor	analytical insight into gravitational collapse ⓘ generating initial conditions for N-body simulations ⓘ modeling cosmic web morphology ⓘ studying large-scale structure statistics ⓘ
uses	Lagrangian coordinates ⓘ comoving coordinates ⓘ displacement field formalism ⓘ
validInRegime	mildly non-linear structure formation ⓘ

Referenced by (1)

Full triples — surface form annotated when it differs from this entity's canonical label.

Yakov Borisovich Zeldovich → knownFor → Zeldovich approximation in large-scale structure formation ⓘ