of emission power and does not yield information about the screening of the disorder potential for high condensate densities.

For scenario II, the stabilization with increasing excitation power is suppressed (see lower right panel of Fig. \[fig:IkMeanVar\]). As compared to scenario I, the decrease of $\sigma^2_P$ with increasing condensate density is weaker than $\sigma^2_P \propto 1/P$. These findings agree well with our argument provided above.

The reservoir of non-condensed polaritons interacts with the condensate and thus leads to an increase of the blueshift. [@Wouters.2007; @Wertz.2010; @Anton.2013c] Usually, this is accounted for by adding a potential term proportional to the reservoir density in [Eq. ]{}. [@Wouters.2007] Such a term will modify the emission frequency of the condensate (real part of [Eq. ]{}), however, does not change the non-equilibrium continuity equation (imaginary part of [Eq. ]{}). Hence, the mechanism of generating random condensate currents is not altered qualitatively by reservoir-condensate interaction and, thus, we believe that they can be safely neglected for our analysis.

Experiment {#sec:experimental_results}
==========

In this section we discuss the experimentally observed behavior of the far-field PL emission pattern of a polariton condensate in a ZnO-based MC with pronounced structural disorder as a function of excitation power. For this 