ASTR 610 Theory of Galaxy Formation Lecture 16

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Disk Formation: The Standard Picture j d J d ≡ j d J vir If we define the parameter via , where is the angular momentum of the dark matter halo, then we can related J d to the spin parameter of the dark matter halo, according to J vir λ = J vir |E| 1/2 GM 5/2 vir = 1 j d J d |E| 1/2 GM 5/2 vir Using the virial theorem, according to which E = −K = − M vir V 2 vir 2 , we have that J d = √ 2 j d λM vir R vir V vir J d =2M d R d V vir R d = √ 1 λ 2 M d = m d M vir jd m d R vir Using the virial scaling relations for dark matter haloes this yields R d 10h −1 kpc jd λ m d 0.05 Vvir 200 km/s D −1 (z) ASTR 610: Theory of Galaxy Formation © Frank van den Bosch: Yale 2012
Disk Formation: The Standard Picture R d 10h −1 kpc jd λ m d 0.05 Vvir 200 km/s D −1 (z) Consider the MW: Assume that V vir = V rot 220 km/s M d 5 × 10 10 M ⊙ R d 3.5kpc and that j d = m d Then, using that and the above relation implies m d ∼ 0.01 λ ∼ 0.011 f bar 0.17 P (λ
Page 1 and 2: ASTR 610 Theory of Galaxy Formation
Page 3 and 4: Structure & Formation of Disk Galax
Page 5 and 6: Disk Galaxies: Observational Facts
Page 7 and 8: gas mass fraction Disk Galaxies: Ob
Page 9 and 10: The Formation of Disk Galaxies Hot
Page 11 and 12: Angular Momentum Transport J For a
Page 13: Disk Formation: The Standard Pictur
Page 17 and 18: Adiabatic Contraction When baryons
Page 19 and 20: Dutton, vdBosch, Dekel & Courteau,
Page 21 and 22: Stellar Mass-to-Light Ratios MMW mo
Page 23 and 24: Models Without Scatter Source: Dutt
Page 25 and 26: Models Without Scatter Source: Dutt
Page 27 and 28: Three Succesful Models with Scatter
Page 29: The Origin of Exponential Disks Unf

ASTR 610 Theory of Galaxy Formation Lecture 16

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