layer, loosely defined as the value of $\tilde\alpha$ at which $f_{\xi}$ is some fraction of its central value, is nearly unchanged as we modify $\zeta$. The average value of the normalized $z$-component of the velocity is also slightly larger for larger $\zeta$.

Figure \[fig:rhoplotsgamjet\] demonstrates how the normalized, fluid-frame mass density of scatterers varies as we traverse the boundary layer for the same set of parameters chosen in Figure \[fig:fpplotsgamjet\]. Since $g$ approaches infinity as we near the origin, the mass density of scatterers, related to $g$ by equation , equals zero at the origin for all of the solutions, meaning that the center of the jet is evacuated of massive particles. The average comoving density of scatterers across the boundary layer is also lower for larger $\zeta$, in accordance with equation . In Figure \[fig:hplotsgamjet\] we plot the normalized number density of photons for the same set of $\zeta$. It is evident that the density of photons closely follows the density of scatterers throughout the boundary layer. We see, however, that the density of photons stays above and below the density of scatterers as we move toward and away from the center of the jet, respectively. The photon density 