204 Appendix D: Formation Time and Brick Estimates form, static brick of plasma. Then Eq. (D.20) and Eq. (D.19) give The results of Eq. (D.22) are plotted in Fig. D.2 with L = 5 fm, the temper- R$_{AA}$ ( p$_{T}$ ) ≃ ∫ L 0 dℓ L e − n ∫ L ℓ dℓ $^{′}$µ ( ℓ $^{′}$) = ∫ L 0 dℓ L e − nµ ( L − ℓ ) = e − nµL L [ 1 nµ $^{(}$e nµL − 1 ) ] ≃ 1 nµL . (D.22) Figure D.1: R$_{AA}$ ( p$_{T}$ ) for charm and bottom quarks traversing a single pathlength of L = 1 fm in a static medium of temperature T = 300 MeV (from Eq. (C.9) with the PHOBOS extrapolation to LHC gluon density dN$_{g}$/dy = 1750 [87, 403], τ$_{0}$ = . 2 fm, τ = 1 fm, and N$_{f}$ = 3 ), with D = 3 / 2 πT from Eq. (D.21). The magnitude and momentum dependence are similar to the results of the full numerical simulation with Bjorken expansion and realistic medium geometry shown in Fig. 5.2.