content_image/326530.jpg content_image/326531.jpg
## 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: 

<img src='content_image/326530.jpg'>

Since µ 2 = 4 πα$_{s}$T 2 and the bracketed term is actually approximately constant for our range of inputs, we use 

<img src='content_image/326531.jpg'>

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 

