D.1 R$_{AA}$ ( p$_{T}$ ) for charm and bottom quarks traversing a single path- length 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 magni- tude 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. . . . . . . . . . . . . . . 204 D.2 R$_{AA}$ ( p$_{T}$ ) for charm and bottom quarks created uniformly along a static brick of SYM plasma of length L = 5 fm and tem- perature T ≃ 210 MeV (from Eq. (C.9) with PHOBOS gluon density dN$_{g}$/dy = 1750 [87, 403], τ$_{0}$ = . 2 fm, and τ = L/ 2 = 2 . 5 fm) according to Eq. (D.22) with D = 3 / 2 πT . 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. . . . . . . . . . . . . . . 205 D.3 R$_{AA}$ ( p$_{T}$ ) for charm and bottom quarks created uniformly along a Bjorken expanding brick of SYM plasma of length L = 3 fm as given by the full analytic solution to Eq. (D.31) with D = 3 / 2 πT . The magnitude and momentum dependence are simi- lar to the results of the full numerical simulation with Bjorken expansion and realistic medium geometry shown in Fig. 5.2. . 209 xxii