83 Chapter 3: v$_{2}$ vs. R$_{AA}$ as a Constraint on sQGP Dynamics 3.3 Exclusion of Detailed Balance In [283], Wang and Wang derived the first order in opacity formula for stimu- lated emission and thermal absorption associated with the multiple scattering of a propagating parton in a hot, dense QCD medium. They found that this effects a net reduction of the energy loss. Since their energy gain has a linear length dependence in a static medium, as opposed to the quadratic dependence for radiative energy loss, one might hope to reproduce the experimental R$_{AA}$ and v$_{2}$ data by increasing the opacity enough that radiative energy loss creates the v$_{2}$ and the energy gain properly reduces the oversuppression of R$_{AA}$ . From [283], we have that in the limit of EL ≫ 1 and E ≫ µ , the asymptotic approximation of the effect in a static medium to the first order in opacity is: Since µ 2 = 4 πα$_{s}$T 2 and the bracketed term is actually approximately constant for our range of inputs, we use Δ E (1) abs E ≈ πα$_{s}$C$_{R}$LT 2 3 λE 2 [ ln µ $^{2}$L T − 1 + γ$_{E}$ − 6 ζ $^{′}$(2) π 2 ] . (3.6) ϵ = Δ E$_{rad}$ E − Δ E$_{abs}$ E = κI − kI$_{2}$, (3.7) where κI is the same as in Eq. (3.3), k is a free parameter encapsulating the proportionality constants in Eq. (3.6), and I$_{2}$ represents an integral through