Einasto profile

E237662

The Einasto profile is a mathematical model used in astrophysics to describe how the density of dark matter and stars varies smoothly with distance from the centers of galaxies and galaxy clusters.

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Einasto profile canonical 1

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Predicate Object
instanceOf astrophysical model
density profile
mathematical model
advantageOver Navarro–Frenk–White profile in fitting simulated dark matter halos
appliesTo bulges of spiral galaxies
elliptical galaxies
galactic dark matter halos
galaxy clusters
assumes spherical symmetry in its simplest form
canBeGeneralizedTo axisymmetric systems
comparedTo Navarro–Frenk–White profile
contrastWith isothermal sphere profile
power-law density profiles
dependsOn radius from system center
describes smooth variation of density with radius
describesComponent inner regions of dark matter halos
outer regions of dark matter halos
field astrophysics
hasFunctionalForm ρ(r) = ρ_e · exp{−d_n[(r/r_e)^{1/n} − 1]}
hasParameter d_n
n
r_e
ρ_e
introducedInContextOf galactic structure studies
mathematicalType exponential of a power-law in radius
namedAfter Jaan Einasto
originCountryOfEponym Estonia
parameterMeaning d_n is a constant fixed by n
n is a shape parameter
r_e is a scale radius
ρ_e is the density at radius r_e
property curved logarithmic slope
finite central density
monotonically decreasing density with radius
spherically symmetric in its standard form
relatedConcept Einasto density profile
surface form: Sérsic profile
relationship mathematically analogous to the Sérsic profile in 3D
scaleBehavior logarithmic slope varies continuously with radius
timePeriodOfIntroduction 1960s
typicalUseCase fitting observed galaxy mass distributions
fitting simulated ΛCDM dark matter halos
usedFor describing radial density profiles of galaxies
describing radial density profiles of galaxy clusters
modeling dark matter density distributions
modeling stellar density distributions
usedIn analysis of rotation curves of galaxies
cosmological N-body simulations
dark matter halo characterization
gravitational lensing studies
mass modeling of galaxy clusters

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Jaan Einasto notableFor Einasto profile